×

Foliations. (English. Russian original) Zbl 0479.57014

J. Sov. Math. 18, 255-291 (1982); translation from Itogi Nauki Tekh., Ser. Algebra Topologiya Geom. 18, 151-213 (1981).

MSC:

57R30 Foliations in differential topology; geometric theory
57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology
53C12 Foliations (differential geometric aspects)
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] I. N. Bernshtein and B. I. Rozenfel’d, ?On the characteristic classes of foliations,? Funkts. Anal. Ego Prilozhen.,6, No. 1, 68?69 (1972).
[2] I. N. Bernshtein and B. I. Rozenfel’d, ?Homogeneous spaces of infinite-dimensional Lie algebras and characteristic classes of foliations,? Usp. Mat. Nauk,28, No. 5, 103?138 (1973).
[3] A. L. Brakhman, ?Foliations without limit cycles,? Mat. Zametki,9, No. 2, 181?191 (1971).
[4] S. M. Vishik, ?On characteristic classes and singularities of foliations,? Funkts. Anal. Ego Prilozhen.,6, No. 4, 71?72 (1972). · Zbl 0256.58002
[5] S. M. Vishik, ?Singularities of analytic foliations and characteristic classes,? Funkts. Anal. Ego Prilozhen.,7, No. 1, 1?15 (1973). · Zbl 0282.57013
[6] I. M. Gel’fand and D. B. Fuks, ?Cohomologies of the Lie algebra of tangent vector fields of a smooth manifold,? Funkts. Anal. Ego Prilozhen.,3, No. 3, 32?52 (1969).
[7] I. M. Gel’fand and D. B. Fuks, ?Cohomologies of the Lie algebra of formal vector fields,? Izv. Akad. Nauk SSSR, Ser. Mat.,34, No. 2, 322?337 (1970).
[8] I. M. Gel’fand and D. B. Fuks, ?PL-foliations,? Funkts. Anal. Ego Prilozhen.,7, No. 4, 29?37 (1973).
[9] I. M. Gel’fand and D. B. Fuks, ?PL-foliations. II,? Funkts. Anal. Ego Prilozhen.,8, No. 3, 7?11 (1974).
[10] I. M. Gel’fand, B. L. Feigin, and D. B. Fuks, ?Cohomologies of the Lie algebra of formal vector fields with coefficients in the dual space and variations of characteristic classes of foliations,? Funkts. Anal. Ego Prilozhen., 8, No. 2, 13?29 (1974).
[11] V. A. Gordin, ?Complex foliations of submanifolds,? Usp. Mat. Nauk,27, No. 5, 233?234 (1972).
[12] M. L. Gromov, ?Stable mappings of foliations into manifolds,? Izv. Akad. Nauk SSSR, Ser. Mat.,33, No. 4, 707?734 (1969).
[13] T. V. Lokot’, ?On foliations of codimension 1 with a trivial holonomy group,? Usp. Mat. Nauk,27, No. 2, 177?178 (1972).
[14] T. V. Lokot’, ?A topological classification of foliations of codimension 1 with trivial holonomy groups of class C2 on the three-dimensional torus,? Usp. Mat. Nauk,27, No. 3, 205 (1972).
[15] T. V. Lokot’, ?On some properties of foliations of codimension 1 with trivial holonomy groups,? in: Tr. Mosk. Inzh.-Stroit. Inst., No. 121 (1974), pp. 132?139.
[16] N. M. Mishachev, ?Elimination of the standard singularities of flags of foliations,? Syktyvkar Univ. (1978). (Manuscript dep. with VINITI, Dec. 28, 1978, No. 3938-78 Dep.).
[17] N. M. Mishachev, ?The construction of flags of foliations,? Usp. Mat. Nauk,34, No. 1, 237?238 (1979). · Zbl 0408.57019
[18] M. M. Mishachev and Ya. M. Eliashberg, ?Surgery on singularities of foliations,? Funkts. Anal. Ego Prilozhen.,11, No. 3, 43?53 (1977).
[19] S. P. Novikov, ?The topology of foliations,? Tr. Mosk. Mat. Obshch.,14, 248?278 (1965). · Zbl 0247.57006
[20] C. Roget, ?Homologies of affine groups and classifying spaces of polylinear foliations,? Funkts. Anal. Ego Prilozhen.,13, No. 4, 47?52 (1979).
[21] V. V. Solodov, ?A geometric proof of Mather’s theorem,? Usp. Mat. Nauk,34, No. 1, 243?244 (1979).
[22] V. V. Solodov, ?On mappings of the circle into foliations,? Geometrich. Metody v Zadachakh Analiza i Algebry, Yaroslavl’, 100?107 (1978).
[23] B. L. Feigin, ?Characteristic classes of flags of foliations,? Funkts. Anal. Ego Prilozhen.,9, No. 4, 49?56 (1975).
[24] D. B. Fuks, ?Characteristic classes of foliations,? Usp. Mat. Nauk,28, No. 2, 3?17 (1973).
[25] D. B. Fuks, ?Quillenization and bordisms,? Funkts. Anal. Ego Prilozhen.,8, No. 1, 36?42 (1974).
[26] D. B. Fuks, ?Finite-dimensional Lie algebras of formal vector fields and characteristic classes of homogeneous foliations,? Izv. Akad. Nauk SSSR, Ser. Mat.,40, No. 1, 57?64 (1976).
[27] D. B. Fuks, ?Cohomologies of infinite-dimensional Lie algebras and characteristic classes of foliations,? Itogi Nauki i Tekh. VINITI, Ser. Sovrem. Probl. Mat.,10, 179?285 (1978).
[28] N. Abe, ?On foliations and exotic characteristic classes,? Kodai Math. Semin. Rep.,28, No. 4, 324?341 (1977). · Zbl 0361.57019
[29] N. Abe, ?Exotic characteristic classes of certain ?-foliations,? Kodai Math. J.,2, No. 2, 254?271 (1979). · Zbl 0417.57012
[30] N. A’Campo, ?Un feuilletage de S5,? C. R. Acad. Sci.,272, No. 23, A1504-A1506 (1971).
[31] N. A’Campo, ?Feuilletages de codimension 1 sur des varietes de dimension 5,? C. R. Acad. Sci.,273, No. 14, A603-A604 (1971).
[32] N. A’Campo, ?Feuilletages de codimension 1 sur les varietes simplement connexes de dimension 5,? Comment. Math. Helv.,47, No. 4, 514?525 (1972). · Zbl 0261.57013
[33] C. Albert, ?Feuilletages invariants et pseudoalgebres de Lie lisses,? Cah. Topol. Geom. Different, Ch. Ehresmann,13, No. 3, 309?323 (1972). · Zbl 0249.53019
[34] C. Apreutesei, ?Quelques classes caracteristiques et GT-structures,? C. R. Acad. Sci.,280, No. 2, A41-A44 (1975). · Zbl 0291.57010
[35] C. Apreutesei, ?Algebres HC(;), HP(;) et obstructions a l’integrabilite,? Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis., Mat. Nat.,62, No. 1, 17?25 (1977).
[36] J. L. Arraut, ?A two-dimensional foliation on S7,? Topology,12, No. 3, 243?245 (1973). · Zbl 0273.57010
[37] D. Asimov, ?Round handles and homotopy of nonsingular vector fields,? Bull. Am. Math. Soc.,81, No. 2, 417?419 (1975). · Zbl 0301.57013
[38] D. Asimov, ?Average Gaussian curvature of leaves of foliations,? Bull. Am. Math. Soc.,84, No. 1, 131?133 (1978). · Zbl 0393.53021
[39] M. F. Atiyah, ?Complex analytic connections in fibre bundles,? Trans. Am. Math. Soc.,85, No. 1, 181?207 (1957). · Zbl 0078.16002
[40] D. Baker, ?On a class of foliations and the evaluation of their characteristic classes,? Bull. Am. Math. Soc.,83, No. 3, 394?396 (1977). · Zbl 0346.57007
[41] D. Baker, ?On a class of foliations and the evaluation of their characteristic classes,? Comment. Math. Helv.,53, No. 3, 334?363 (1978). · Zbl 0388.57014
[42] P. F. Baum, ?Structure of foliation singularities,? Adv. Math.,15, No. 3, 361?374 (1975). · Zbl 0296.57007
[43] P. F. Baum and R. Bott, ?On the zeros of meromorphic vector-fields,? in: Essays Topol. Relat. Topics, Berlin et al. (1970), pp. 29?47.
[44] P. F. Baum and R. Bott, ?Singularities of holomorphic foliations,? J. Diff. Geom.,7, Nos. 3?4, 279?342 (1972). · Zbl 0268.57011
[45] R. Bott, ?Vector fields and characteristic numbers,? Mich. Math. J.,14, No. 2, 231?244 (1967). · Zbl 0145.43801
[46] R. Bott, ?On topological obstructions to integrability,? Actes Congr. Int. Mathematiciens, 1970, T. 1, Paris, 27?36 (1971).
[47] R. Bott, ?Lectures on characteristic classes and foliations,? Lect. Notes Math.,279, 1?94 (1972). · Zbl 0241.57010
[48] R. Bott, ?On the Lefschetz formula and exotic characteristic classes,? in: Symp. Math. Conv., 1971?1972, London-New York, Vol. 10 (1972), pp. 95?105.
[49] R. Bott, ?On characteristic classes in the framework of Gelfand-Fuks cohomology,? Asterisque, Nos. 32?33, 113?139 (1976). · Zbl 0328.57005
[50] R. Bott and A. Haefliger, ?On characteristic classes of ?-foliations,? Bull. Am. Math. Soc.,78, No. 6, 1039?1044 (1972). · Zbl 0262.57010
[51] R. Bott and J. Heitsch, ?A remark on the integral cohomology of B?q,? Topology,11, No. 2, 141?146 (1972). · Zbl 0236.55015
[52] R. Bott, H. Shulman, and J. Stasheff, ?On the de Rham theory of certain classifying spaces,? Adv. Math.,20, No. 1, 43?56 (1976). · Zbl 0342.57016
[53] L. G. Bouma and W. T. van Est, ?Manifold schemes and foliations on the 2-torus and the Klein bottle. I,? Proc. K. Ned. Akad. Wet., Ser. A,81, No. 3, 313?325 (1978). · Zbl 0393.57008
[54] L. G. Bouma and W. T. van Est, ?Manifold schemes and foliations on the 2-torus and the Klein bottle. II,? Proc. K. Ned. Akad. Wet., Ser. A,81, No. 3, 326?338 (1978). · Zbl 0393.57009
[55] L. G. Bouma and W. T. van Est, ?Manifold schemes and foliations on the 2-torus and the Klein bottle. III,? Proc. K. Ned. Akad. Wet., Ser. A,81, No. 3, 339?347 (1978). · Zbl 0393.57010
[56] B. Callenaere and D. Lehmann, ?Classes exotiques universelles,? Ann. Inst. Fourier,24, No. 3, 301?306 (1974).
[57] J. Cantwell and L. Conlon, ?Open leaves in closed 3-manifolds,? Bull. Am. Math. Soc.,82, No. 2, 256?258 (1976). · Zbl 0337.57006
[58] J. Cantwell and L. Conlon, ?Closed transversals and the genus of closed leaves in foliated 3-manifolds,? J. Math. Anal. Appl.,55, No. 3, 653?657 (1976). · Zbl 0332.57011
[59] J. Cantwell and L. Conlon, ?Leaves with isolated ends in foliated 3-manifolds,? Topology,16, No. 4, 311?322 (1977). · Zbl 0385.57007
[60] J. Cantwell and L. Conlon, ?Growth of leaves,? Comment. Math. Helv.,53, No. 1, 93?111 (1978). · Zbl 0368.57009
[61] J. Cantwell and L. Conlon, ?Leaf prescriptions for closed 3-manifolds,? Trans. Am. Math. Soc.,236, 239?261 (1978). · Zbl 0398.57009
[62] B. Cenkl, ?Affine connections with zero torsion,? Proc. Symp. Pure Math., Berkeley, Calif., 1971, Providence, Vol. 23 (1973), pp. 375?377.
[63] B. Cenkl, ?On the de Rham complex of B,? Proc. Symp. Pure Math., Stanford, Calif., 1973, Providence, Vol. 27, Part 1 (1973), pp. 265?274.
[64] B. Cenkl, ?Residues of singularities of holomorphic foliations,? J. Diff. Geom.,13, No. 1, 11?23 (1978). · Zbl 0409.57028
[65] G. Chatelet, ?Sur les feuilletages induits par l’action de groupes de Lie nilpotents,? Ann. Inst. Fourier,27, No. 2, 161?189 (1977). · Zbl 0349.57009
[66] G. Chatelet and H. Rosenberg, ?Un theoreme de conjugaison des feuilletages,? Ann. Inst. Fourier,21, No. 3, 95?106 (1971). · Zbl 0208.25703
[67] M. Cohen, ?Approximation of foliations,? Can. Math. Bull.,14, No. 3, 311?314 (1971). · Zbl 0219.57015
[68] M. Cohen, ?Smoothing one-dimensional foliations on S1{\(\times\)}S1,? Can. Math. Bull.,16, No. 1, 43?44 (1973). · Zbl 0255.57009
[69] M. Cohen, ?Foliations on 3-manifolds,? Am. Math. Mon.,81, No. 5, 462?473 (1974). · Zbl 0298.57012
[70] L. Conlon, ?Transversally parallelizable foliations of codimension two,? Trans. Am. Math. Soc.,194, 79?102 (1974). · Zbl 0288.57011
[71] L. Conlon, ?Erratum to ?Transversally parallelizable foliations of codimension two,?? Trans. Am. Math. Soc.,207, 406 (1975). · Zbl 0302.57009
[72] L. Conlon and S. Goodman, ?Opening closed leaves in foliated 3-manifolds,? Topology,14, No. 1, 59?61 (1975). · Zbl 0295.57011
[73] L. Conlon and S. Goodman, ?The closed leaf index of foliated manifolds,? Trans. Am. Math. Soc.,233, 205?223 (1977). · Zbl 0368.57008
[74] R. L. A. Cordero, ?Sur une theorie de cohomologie associee aux feuilletages,? C. R. Acad. Sci.,272, No. 16, A1056-A1057 (1971). · Zbl 0217.20204
[75] R. L. A. Cordero, ?The extension of G-foliations to tangent bundles of higher order,? Nagoya Math. J.,56, 29?44 (1975). · Zbl 0291.57016
[76] R. L. A. Cordero, ?The horizontal lift of a foliation and its exotic classes,? Lect. Notes Math.,484, 192?200 (1975). · Zbl 0313.57014
[77] R. L. A. Cordero and M. A. de Prada, ?Sobre las cohomologias y metricas del fibrado tangente a una variedad foliada,? Actas Prim. Jorn. Mat. Luso-esp. Publs. Inst. ?Jörge Juan? Mat., Madrid, 255?259 (1973).
[78] R. L. A. Cordero and M. A. de Prada, ?Foliacion en el fibrado tangente a una variedad foliada y la obstruccion de Bott a la integrabilidad,? Actas Prim. Jorn. Mat. Luso-est. Publs. Inst. ?Jorge Juan? Mat., Madrid, 269?274 (1973).
[79] R. L. A. Cordero and P. M. Gadea, ?Exotic characteristic classes and subfoliations,? Ann. Inst. Fourier,26, No. 1, 225?237 (1976). · Zbl 0313.57010
[80] M. Craioveanu, ?Sur les sous-feuilletages d’une structure feuilletee,? C. R. Acad. Sci.,272, No. 11, A731-A733 (1971). · Zbl 0211.26702
[81] M. Craioveanu, ?Varietes banachiques feuilletees. I,? An. Univ. Timisoara, Ser. Sti. Mat.,9, No. 1, 35?48 (1971). · Zbl 0273.57011
[82] M. Craioveanu, ?Varietes banachiques feuilletees, II,? An. Univ. Timisoara, Ser. Sti. Mat.,13, No. 1, 11?12 (1975). · Zbl 0452.57007
[83] A. Davis and F. W. Wilson, ?Vector fields tangent to foliations. I. Reeb foliations,? J. Diff. Eq.,11, No. 3, 491?498 (1972). · Zbl 0242.57012
[84] K. Decesaro and T. Nagano, ?On compact foliations,? Proc. Symp. Pure Math., Stanford, Calif., 1973, Providence, Vol. 27, Part 1 (1975), pp. 277?281.
[85] N. Desolneux-Moulis, ?Sur certaines familles a un parametre de T2 {\(\times\)} S2,? C. R. Acad. Sci.,AB287, No. 15, A1043-A1046 (1978).
[86] P. R. Dippolito, ?Codimension one foliations of closed manifolds,? Ann. Math.,107, No. 3, 403?453 (1978). · Zbl 0418.57012
[87] Tong van Duc, ?Fibres vectoriels feuilletes,? Boll. Unione Mat. Ital.,A15, No. 1, 52?60 (1978). · Zbl 0409.53026
[88] Tong van Duc, ?Fibres vectoriels feuilletes,? Kodai Math. J.,1, No. 2, 205?212 (1978). · Zbl 0409.53026
[89] T. Duchamp and M. Kalka, ?Holomorphic foliations and the Kobayashi metric,? Proc. Am. Math. Soc.,67, No. 1, 117?122 (1977). · Zbl 0381.57009
[90] A. H. Durfee, ?Foliations of odd-dimensional spheres,? Ann. Math.,96, No. 2, 407?411 (1972). · Zbl 0231.57016
[91] A. H. Durfee and H. B. Lawson, ?Fibered knots and foliations of highly connected manifolds,? Invent. Math.,17, No. 3, 203?215 (1972). · Zbl 0231.57015
[92] R. Edwards, ?A question concerning compact foliations,? Lect. Notes Math.,468, 2?4 (1975). · Zbl 0309.57010
[93] R. Edwards, K. Millett, and D. Sullivan, ?Foliations with all leaves compact,? Topology,16, No. 1, 13?32 (1977). · Zbl 0356.57022
[94] D. B. A. Epstein, ?The simplicity of certain groups of homeomorphisms,? Compos. Math.,22, No. 2, 165?173 (1970). · Zbl 0205.28201
[95] D. B. A. Epstein, ?Periodic flows on three-dimensional manifolds,? Ann. Math.,95, No. 1, 66?82 (1972). · Zbl 0231.58009
[96] D. B. A. Epstein, ?Foliations with all leaves compact,? Lect. Notes Math.,468, 1?2 (1975). · Zbl 0306.57015
[97] D. B. A. Epstein, ?Foliations with all leaves compact,? Ann. Inst. Fourier,26, No. 1, 265?282 (1976). · Zbl 0313.57017
[98] D. B. A. Epstein, ?A topology for the space of foliations,? Lect. Notes Math.,597, 132?150 (1977).
[99] D. B. A. Epstein, K. Millet, and D. Tischler, ?Leaves without holonomy,? J. London Math. Soc.,16, No. 3, 548?552 (1977). · Zbl 0381.57007
[100] D. B. A. Epstein and H. Rosenberg, ?Stability of compact foliations,? Lect. Notes Math.,597, 151?160 (1977).
[101] D. B. A. Epstein and E. Vogt, ?A counterexample to the periodic orbit conjecture in codimension 3,? Ann. Math.,108, No. 3, 539?552 (1978). · Zbl 0418.57013
[102] E. Fedida, ?Sur les feuilletages de Lie,? C. R. Acad. Sci.,272, No. 15, A999-A1001 (1971). · Zbl 0218.57014
[103] E. Fedida, ?Structures differentiables sur le branchement simple et equations differentielles dans le plan,? C. R. Acad. Sci.,276, No. 26, A1657-A1659 (1973). · Zbl 0267.57019
[104] E. Fedida, ?Sur l’existence des feuilletages de Lie,? C. R. Acad. Sci.,A278, No. 12, 835?837 (1974). · Zbl 0287.57010
[105] E. Fedida, ?Sur la theorie des feuilletages associee au repere mobile: cas des feuilletages de Lie,? Lect. Notes Math.,652, 183?195 (1978). · Zbl 0393.57006
[106] J. M. Franks, ?Two foliations in the plane,? Proc. Am. Math. Soc.,58, 262?264 (1976). · Zbl 0334.57015
[107] J. M. Franks, ?Holonomy invariant cochains for foliations,? Proc. Am. Math. Soc.,62, No. 1, 16l-164 (1977). · Zbl 0346.57008
[108] M. Freeman, ?Local complex foliation of real submanifolds,? Math. Ann.,209, No. 1, 1?30 (1974). · Zbl 0267.32006
[109] M. Freeman, ?The Levi form and local complex foliations,? Proc. Am. Math. Soc.,57, No. 2, 369?370 (1976). · Zbl 0328.32006
[110] D. B. Fuchs, ?Non-trivialite des classes caracteristiques de ?-structures. Applications aux classes caracteristiques des feuilletages,? C. R. Acad. Sci.,284, No. 17, A1017-A1019 (1977). · Zbl 0348.57006
[111] D. B. Fuchs, ?Non-trivialite des classes characteristiques de ?-structures. Applications aux variations des classes caracteristiques de feuilletages,? C. R. Acad. Sci.,284, No. 18, A1105-A1107 (1977). · Zbl 0348.57007
[112] D. B. Fuchs, A. M. Gabrielov, and I. M. Gel’fand, ?The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations,? Topology,15, No. 2, 165?188 (1976). · Zbl 0347.57009
[113] K. Fukui, ?Codimension 1 foliations on simply connected 5-manifolds,? Proc. Jpn. Acad.,49, No. 6, 432?434 (1973). · Zbl 0271.57007
[114] K. Fukui, ?An application of the Morse theory to foliated manifolds,? Nagoya Math. J.,54, 165?178 (1974). · Zbl 0271.57008
[115] K. Fukui, ?On the foliated cobordisms of codimension-one foliated 3-manifolds,? Acta Hum. Sci. Univ., Sangio Kiotiensis Nat. Sci. Ser.,7, No. 4, 42?49 (1978). · Zbl 0375.57010
[116] P. M. D. Furness, ?Affine foliations of codimension one,? Q. J. Math.,25, No. 98, 151?161 (1974). · Zbl 0287.57011
[117] P. M. D. Furness and E. Fedida, ?Feuilletages transversalement affines de codimension 1,? C. R. Acad. Sci.,282, No. 16, A825-A827 (1976). · Zbl 0321.57017
[118] M. Garancon, ?Homotopie et holonomie de certains feuilletages de codimension 1,? Ann. Inst. Fourier,22, No. 2, 61?71 (1972). · Zbl 0225.57009
[119] M. Garancon, ?Feuilletages transversalement analytiques de codimension 1 admettant une transversale fermee qui coupe toutes les feuilles,? Ann. Inst. Fourier,22, No. 4, 271?287 (1972). · Zbl 0236.57012
[120] R. B. Gardner, ?Differential geometry and foliations: the Godbillon-Vey invariant and the Bott-Pasternack vanishing theorems,? Lect. Notes Math.,652, 75?94 (1978). · Zbl 0439.57001
[121] D. Gauld, ?Foliations on topological manifolds,? Math. Chron.,2, Nos. 1?2, 29?41 (1972). · Zbl 0238.57007
[122] C. Godbillon, ?Feuilletages ayant la propriete du prolongement des homotopies,? These Doct. Sci. Math., Fac. Sci. Univ. Strasbourg (1967). · Zbl 0186.57301
[123] C. Godbillon, ?Problemes d’existence et d’homotopie dans les feuilletages,? Lect. Notes Math.,244, 167?181 (1971). · Zbl 0228.57017
[124] C. Godbillon, ?Fibres en droites et feuilletages du plan,? Enseign. Math.,18, Nos. 3?4, 213?224 (1972-973). · Zbl 0252.57007
[125] C. Godbillon, ?Cohomologies d’algebres de Lie de champs de vecteurs formels,? Lect. Notes Math.,383, 69?87 (1974). · Zbl 0296.17010
[126] C. Godbillon, ?Feuilletages de Lie,? Lect. Notes Math.,392, 10?13 (1974). · Zbl 0292.57020
[127] C. Godbillon, ?Invariants of foliations,? Global Anal. Appl. Lect. Int. Semin. Course Trieste, Vienna, Vol. 2 (1974), pp. 215?219.
[128] C. Godbillon and J. Vey, ?Un invariant des feuilletages de codimension 1,? C. R. Acad. Sci.,273, No. 2, A92-A95 (1971). · Zbl 0215.24604
[129] B. F. Golbus, ?On the singularities of foliations and of vector bundle maps,? Bol. Soc, Brasil. Mat.,7, No. 1, 11?35 (1976). · Zbl 0402.57011
[130] B. F. Golbus, ?On extending local foliations,? Q. J. Math.,28, No. 110, 163?176 (1977). · Zbl 0361.57021
[131] R. Goldman, ?The holonomy ring on the leaves of foliated manifolds,? J. Diff. Geom.,11, No. 9, 411?449 (1976). · Zbl 0356.57016
[132] S. Goodman, ?Closed leaves in foliated 3-manifolds,? Proc. Nat. Acad. Sci. USA,71, No. 11, 4414?4415 (1974). · Zbl 0305.57024
[133] S. Goodman, ?Closed leaves in foliations of codimension one,? Comment, Math. Helv.,50, No. 3, 383?388 (1975). · Zbl 0318.57027
[134] S. Goodman, ?On the structure of foliated 3-manifolds separated by a compact leaf,? Invent. Math.,39, No. 3, 213?221 (1977). · Zbl 0447.57016
[135] S. Guelorget, ?Algebre de Weil du groupe lineare. Application aux classes caracteristiques d’un feuilletage,? Lect. Notes Math.,484, 179?191 (1975). · Zbl 0314.57012
[136] S. Guelorget and G. Joubert, ?Algebre de Weil et classes caracteristiques d’un feuilletage,? C. R. Acad. Sci.,277, No. 1, A11-A14 (1973). · Zbl 0257.57010
[137] A. Haefliger, ?Sur les feuilletages analytiques,? C. R. Acad. Sci.,242, No. 25, 2908?2910 (1956). · Zbl 0071.17501
[138] A. Haefliger, ?Feuilletages sur les varietes ouvertes,? Topology,9, No. 2, 183?194 (1970). · Zbl 0196.26901
[139] A. Haefliger, ?Homotopy and integrability,? Lect. Notes Math.,197, 133?163 (1971).
[140] A. Haefliger, ?Teorema de Bott sobre una obstruccion topologica a la integrabilidad complota,? Rev. Mat. Hisp.-Amer.,32, Nos. 1?2, 21?32 (1972).
[141] A. Haefliger, ?Sur les classes caracteristiques des feuilletages,? Lect. Notes Math.,317, 239?260 (1973). · Zbl 0257.57011
[142] A. Haefliger, ?Cohomology of Lie algebras and foliations,? Lect. Notes Math.,652, 1?12 (1978). · Zbl 0387.57013
[143] G. Hector, ?Sur le type des feuilletages transyerses de R3,? C. R. Acad. Sci.,273, No. 18, A810-A813 (1971). · Zbl 0221.57010
[144] G. Hector, ?Ouverts incompressibles et theoreme de Denjoy-Poincare pour les feuilletages,? C. R. Acad. Sci.,274. No. 2, A159-A162 (1972). · Zbl 0228.57019
[145] G. Hector, ?Ouverts incompressibles et structure des feuilletages de codimension 1,? C. R. Acad. Sci.,274, A741-A744 (1972). · Zbl 0232.57015
[146] G. Hector, ?Sur les feuilletages presque sans holonomie,? C. R. Acad. Sci.,274, No. 24, A1703-A1706 (1972). · Zbl 0233.57012
[147] G. Hector, ?Actions de groupes de diffeomorphismes de {0,1},n? Lect. Notes Math.,392, 14?22 (1974).
[148] G. Hector, ?Quelques exemples de feuilletages especes rares,? Ann. Inst. Fourier,26, No. 1, 239?264 (1976). · Zbl 0313.57015
[149] G. Hector, ?Feuilletages en cylindres,? Lect. Notes Math.,597, 252?270 (1977). · Zbl 0361.57020
[150] G. Hector, ?Leaves whose growth is neither exponential nor polynomial,? Topology,16, No. 4, 451?459 (1977). · Zbl 0379.57005
[151] G. Hector, ?Croissance des feuilletages presque sans holonomie,? Lect. Notes Math.,652, 141?182 (1978). · Zbl 0393.57005
[152] J. L. Heitsch, ?Deformations of secondary characteristic classes,? Topology,12, No. 4, 381?388 (1973). · Zbl 0268.57010
[153] J. L. Heitsch, ?A eohomology for foliated manifolds,? Bull. Am. Math. Soc.,79, No. 6, 1283?1285 (1973). · Zbl 0282.57014
[154] J. L. Heitsch, ?A eohomology for foliated manifolds,? Comment. Math. Helv.,50, No. 2, 197?218 (1975). · Zbl 0311.57014
[155] J. L. Heitsch, ?A remark on the residue theorem of Bott,? Indiana Univ. Math. J.,25, No. 12, 1139?1147 (1976). · Zbl 0349.32007
[156] J. L. Heitsch, ?Residues and characteristic classes of foliations,? Bull. Am. Math. Soc.,83, No. 3, 397?399 (1977). · Zbl 0347.57010
[157] J. L. Heitsch, ?Independent variations of secondary classes,? Ann. Math.,108, No. 3, 421?460 (1978). · Zbl 0398.57007
[158] J. L. Heitsch, ?Derivatives of secondary characteristic classes,? J. Diff. Geom.,13, 311?339 (1978). · Zbl 0407.57024
[159] M. R. Hermann, ?The Godbillon-Vey invariant of foliations by planes of T3,? Lect. Notes Math.,597, 294?307 (1977).
[160] M. Hirsch, ?Foliated bundles, flat manifolds and invariant measures,? Lect. Notes Math.,468, 8?9 (1975). · Zbl 0305.57022
[161] M. Hirsch, ?A stable analytic foliation with only exceptional minimal sets,? Lect. Notes Math.,468, 9?10 (1975). · Zbl 0309.53053
[162] M. Hirsch and W. P. Thurston, ?Foliated bundles, invariant measures and flat manifolds,? Ann. Math.,101, No. 3, 369?390 (1975). · Zbl 0321.57015
[163] H. Holmann, ?Holomorphe Blätterungen komplexen Räume,? Comment. Math. Helv.,47, No. 2, 185?204 (1972). · Zbl 0251.32008
[164] H. Holmann, ?On the stability of holomorphic foliations with all leaves compact,? Lect. Notes Math.,683, 217?248 (1978). · Zbl 0403.32015
[165] G. Ikegami, ?Existence of regular coverings associated with leaves of codimension one foliations,? Nagoya Math. J.,67, 15?34 (1977). · Zbl 0336.57018
[166] Hideki Imanishi, ?Sur l’existence des feuilletages S1-invariants,? J. Math. Kyoto Univ.,12, No. 2, 297?305 (1972). · Zbl 0241.57012
[167] T. Inaba, ?On stability of proper leaves of codimension one foliations,? J. Math. Soc. Jpn.,29, No. 4, 771?778 (1977). · Zbl 0356.57021
[168] S. Jekel, ?On two theorems of A. Haefliger concerning foliations,? Topology,15, No. 3, 267?271 (1976). · Zbl 0335.57016
[169] S. Jekel, ?Simplicial K(G, 1)’s,? Manuscr. Math.,21, No. 2, 189?203 (1977). · Zbl 0393.55006
[170] S. Jekel, ?A note on the perfection of the fundamental group of the classifying space for codimension one real analytic foliations,? Bol. Soc. Mat. Max.,22, No. 2, 58?59 (1977). · Zbl 0452.57012
[171] D. L. Johnson and L. B. Witt, ?Totally geodesic foliations on 3-manifolds,? Proc. Am. Math. Soc.,76, No. 2, 355?357 (1979).
[172] J. P. Jouanolou, ?Feuilles compactes des feuilletages algebriques,? Math. Ann.,241, No. 1, 69?72 (1979). · Zbl 0401.32013
[173] G. Joubert, ?Estructuras foliadas,? Rev. Colomb. Mat.,2, No. 4, 105?116 (1968).
[174] G. Joubert and R. Moussu, ?El teorema de Novikov,? Rev. Colomb. Mat.,2, No. 4, 117?123 (1968). · Zbl 0236.57011
[175] G. Joubert and R. Moussu, ?Feuilletage sans holonomie d’une variete fermee,? C. R. Acad. Sci.,270, No. 8, A507-A509 (1970). · Zbl 0191.54304
[176] G. Joubert, R. Moussu, and D. Tischler, ?Sur les classes caracteristiques des feuilletages produits,? C. R. Acad. Sci.,275, No. 3, A171-A174 (1972).
[177] F. W. Kamber and Ph. Tondeur, ?Cohomologie des algebres de Weil relatives tronquees,? C. R. Acad. Sci.,276, No. 6, A459-A462 (1973).
[178] F. W. Kamber and Ph. Tondeur, ?Algebres de Weil semi-simpliciales,? C. R. Acad. Sci.,276, No. 18, A1177-A1179 (1973).
[179] F. W. Kamber and Ph. Tondeur, ?Homomorphisme caracteristique d’un fibre principal feuillete,? C. R. Acad. Sci.,276, No. 21, A1407-A1410 (1973).
[180] F. W. Kamber and Ph. Tondeur, ?Classes caracteristiques derivees d’un fibre principal feuillete,? C. R. Acad. Sci.,276, No. 22, A1449-A1452 (1973).
[181] F. W. Kamber and Ph. Tondeur, ?Characteristic invariants of foliated bundles,? Manuscr. Math.,11, No. 1, 51?89 (1974). · Zbl 0267.57012
[182] F. W. Kamber and Ph. Tondeur, ?Classes caracteristiques generalisees des fibres feuilletes localement homogenes,? C. R. Acad. Sci.,A279, No. 25, 847?850 (1974).
[183] F. W. Kamber and Ph. Tondeur, ?Quelques classes caracteristiques generalisees non triviales de fibres feuilletes,? C. R. Acad. Sci.,A279, No. 26, 921?924 (1974).
[184] F. W. Kamber and Ph. Tondeur, ?Semisimplicial Weil algebras and characteristic classes for foliated bundles in Cech cohomology,? Proc. Symp. Pure Math., Stanford, Calif., 1973, Providence, Vol. 27, Part 1 (1975), pp. 283?294.
[185] F. W. Kamber and Ph. Tondeur, ?Foliated bundles and characteristic classes,? Lect. Notes Math.,493, 207 (1975).
[186] F. W. Kamber and Ph. Tondeur, ?Classes caracteristiques et suite spectrales d’Eilenberg-Moore,? C. R. Acad. Sci.,283, No. 12, A883-A886 (1976).
[187] F. W. Kamber and Ph. Tondeur, ?G-foliations and their characteristic classes,? Bull. Am. Math. Soc.,84, No. 6, 1086?1124 (1978). · Zbl 0405.57017
[188] Y. Kanie, ?Cohomologies of Lie algebras of vector fields with coefficients in adjoint representations. Foliated case,? Publs. Res. Inst. Math. Sci.,14, No. 2, 487?501 (1978). · Zbl 0407.57023
[189] B. Kaup, ?Ein geometrisches Endlichkeitskriterium für Untergruppen von Aut(C, 0) und holomorphe 1-codimensionale Blätterungen,? Comment. Math. Helv.,53, No. 2, 295?299 (1978). · Zbl 0382.32005
[190] U. Koschorke, ?Singularities and bordisms of q-plane fields and of foliations,? Bull. Am. Math. Soc.,80, No. 4, 760?765 (1974). · Zbl 0301.57014
[191] U. Koschorke, ?Line fields transversal to foliations,? Proc. Symp. Pure Math., Stanford, Calif., 1973, Providence, Vol. 27, Part 1 (1975), pp. 295?301.
[192] C. Lamoureux, ?Feuilletages de codimension 1. Transversales fermees,? C. R. Acad. Sci.,270, No. 25, A1659-A1662 (1970). · Zbl 0201.25303
[193] C. Lamoureux, ?Feuilletages de codimension 1. Holonomie et homotopie,? C. R. Acad. Sci.,270, No. 26, A1718-A1721 (1970). · Zbl 0203.25801
[194] C. Lamoureux, ?Une condition pour qu’une feuille soit propre et ait une enveloppe composee de feuilles fermees,? C. R. Acad. Sci.,274, No. 1, A31-A34 (1972). · Zbl 0228.57018
[195] G. Lamoureux, ?Feuilles fermees et captage; applications,? C. R. Acad. Sci.,277, No. 13, A579-A581 (1973). · Zbl 0267.57014
[196] C. Lamoureux, ?Feuilles exceptionelles, feuilles denses, homologie et captage,? C. R. Acad. Sci.,277, No. 21, A1041-A1043 (1973). · Zbl 0273.57009
[197] C. Lamoureux, ?Sur quelques phenomenes de captage,? Ann. Inst. Fourier,23, No. 4, 229?243 (1973?1974). · Zbl 0251.57009
[198] C. Lamoureux, ?The structure of foliations without holonomy on non-compact manifolds with fondamental group Z,? Topology,13, No. 3, 219?224 (1974). · Zbl 0298.57013
[199] C. Lamoureux, ?Quelques proprietes globales des feuilletages par des feuilles simplement connexes non-necessairement bornees,? C. R. Acad. Sci.,A279, No. 23, 813?816 (1974). · Zbl 0303.57014
[200] C. Lamoureux, ?Groupes d’homologie et d’homologie d’ordre superieur des varietes compactes ou non compactes feuilletees en codimension 1,? C. R. Acad. Sci.,280, No. 7, A4H-A414 (1975). · Zbl 0307.57010
[201] C. Lamoureux, ?Non-bounded leaves in codimension one foliations,? Lect. Notes Math.,484, 257?272 (1975). · Zbl 0313.57019
[202] C. Lamoureux, ?Feuilles non captees et feuilles denses,? Ann. Inst. Fourier,25, No. 2, 285?293 (1975). · Zbl 0301.57017
[203] C. Lamoureux, ?Feuilletages des varietes compactes et non compactes,? Ann. Inst. Fourier,26, No. 2, 221?271 (1976). · Zbl 0318.57030
[204] C. Lamoureux, ?Holonomie et feuilles exceptionelles,? Ann. Inst. Fourier,26, No. 4, 273?300 (1976). · Zbl 0331.57011
[205] R. Lavevin, ?Feuilletages tendus,? Bull. Soc. Math. Fr.,107, No. 3, 277?281 (1979).
[206] R. Langevin and H. Rosenberg, ?On stability of compact leaves and fibrations,? Topology,16, No. 1, 107?111 (1977). · Zbl 0346.57009
[207] R. Langevin and H. Rosenberg, ?Integrable perturbations of fibrations and a theorem of Scifert,? Lect. Notes Math.,652, 122?127 (1978). · Zbl 0382.57011
[208] F. Laudenbach and R. Roussarie, ?Un exemple de feuilletage sur S2,? Topology,9, No. 1, 63?70 (1970). · Zbl 0198.28403
[209] H. B. Lawson, ?Codimension-one foliations of spheres,? Bull. Am. Math. Soc.,77, No. 3, 437?438 (1971). · Zbl 0217.20203
[210] H. B. Lawson, ?Codimension-one foliations of spheres,? Ann. Math.,94, No. 3, 494?503 (1971). · Zbl 0236.57014
[211] H. B. Lawson, ?Foliations,? Bull. Am. Math. Soc.,80, No. 3, 369?418 (1974). · Zbl 0293.57014
[212] C. Lazarov and J. S. Pasternack, ?Secondary characteristic classes for Riemannian foliations,? J. Diff. Geom.,11, No. 3, 365?385 (1976). · Zbl 0356.57007
[213] C. Lazarov and J. S. Pasternack, ?Residues and characteristic classes for Riemannian foliations,? J. Diff. Georn.,11, No. 4, 599?612 (1976). · Zbl 0367.57005
[214] C. Lazarov and H. Shulman, ?Obstructions to foliation preserving Lie group actions,? Topology,18, No. 3, 255?256 (1979). · Zbl 0413.57022
[215] D. Lehmann, ?I-homotopie dans les espaces de connexions et classes exotiques de Chern-Simons,? C. R. Acad. Sci.,275, No. 18, A835-A838 (1972). · Zbl 0242.57010
[216] D. Lehmann, ?Classes caracteristiques exotiques et J-connesite des espases de connexions,? Ann. Inst. Fourier,24, No. 3, 267?300 (1974). · Zbl 0268.57009
[217] D. Lehmann, ?Sur l’approximation de certains feuilletages nilpotents par des fibrations,? C. R. Acad. Sci.,AB286, No. 5, A251-A254 (1978). · Zbl 0379.57004
[218] D. Lehmann, ?Sur la generalization d’un theoreme de Tischler a certains feuilletages nilpotents,? Proc. K. Ned. Akad. Wet., Ser. A,82, No. 2, 177?189 (1979). · Zbl 0409.57027
[219] D. Lehmann and Gadea P. Martinez, ?Classes caracteristicas exoticas. Tipo de homotopia racional y formas diferenciales,? Gac. Mat.,26, Nos. 5?6, 147?157 (1974).
[220] J. Leslie, ?A remark on the group of automorphisms of a foliation having a dense leaf,? J. Diff. Geom.,7, Nos. 3?4, 597?601 (1972). · Zbl 0293.58007
[221] H. I. Levine and M. Snub, ?Stability of foliations,? Trans. Am. Math. Soe.,184, Oct., 419?437 (1973).
[222] G. Levitt, ?Feuilletages des varietes de dimension 3 qui sont des fibres en cercles,? Comment. Math. Helv.,53, No. 4, 572?594 (1978). · Zbl 0393.57004
[223] C.-C. Liang, ?Multifouations on open manifolds,? Math. Ann.,221, No. 2, 143?146 (1976). · Zbl 0321.57018
[224] C.-C. Liang, ?On the volume preserving foliations,? Math. Ann.,223, No. 1, 13?17 (1976). · Zbl 0314.57017
[225] A. Lichnerowicz, ?Feuilletage et algebre de Lie associees,? C. R. Acad. Sci.,AB286, No. 23, A1141-A1145 (1978). · Zbl 0398.57008
[226] L. Lininger, ?Codimension 1 foliations on manifolds with even index,? Lect. Notes Math.,438, 336?338 (1975). · Zbl 0316.57012
[227] J. Martinet, ?Classes caracteristiques des systemes de Pfaff,? Lect. Notes Math.,392, 30?36 (1974).
[228] X. Masa, ?Quelques proprietes des feuilletages de codimension 1 a connexion transverse projectable,? C. R. Acad. Sci.,284, No. 14, A811-A812 (1977). · Zbl 0349.57008
[229] J. N. Mather, ?On Haefliger’s classifying space. I,? Bull. Am. Math. Soc.,77, No. 6, 1111?1115 (1971). · Zbl 0224.55022
[230] J. N. Mather, ?The vanishing of the homology of certain groups of homeomorphisms,? Topology,10, No. 4, 297?298 (1971). · Zbl 0207.21903
[231] J. N. Mather, ?Integrability in codimension 1,? Comment. Math. Helv.,48, No. 2, 195?233 (1973). · Zbl 0284.57016
[232] J. N. Mather, ?Simplicity of certain groups of diffeomorphisms,? Bull. Am. Math. Soc.,80, No. 2, 271?273 (1974). · Zbl 0275.58007
[233] J. N. Mather, ?Commutators of diffeomorphisms,? Comment. Math. Helv.,49, No. 4, 512?528 (1974). · Zbl 0289.57014
[234] J. N. Mather, ?Commutators of diffeomorphisms. II,? Comment. Math. Helv.,50, No. 1, 33?40 (1975). · Zbl 0299.58008
[235] J. N. Mather, ?Foliations and homology of groups of diffeomorphisms,? Proc. Int. Congr. Math., Vancouver, 1974, Vol. 2, S. 1 (1975), pp. 35?37.
[236] A. Medina, ?Nombres caracteristiques du fibre transverse a un feuilletage et champs de vecteurs feuilletes,? C. R. Acad. Sci.,276, No. 12, A863-A865 (1973). · Zbl 0251.57008
[237] A. Medina, ?Quelques remarques sur les feuilletages affines,? C. R. Acad. Sci.,282, No. 19, A1159-A1162 (1976). · Zbl 0328.57007
[238] A. Medina, ?Quelques remarques sur les feuilletages affines,? Cah. Topol. Geom. Different., Ch. Ehresmann,17, No. 1, 59?68 (1976). · Zbl 0332.57012
[239] J. Meyer, ?e-Foliations of codimension two,? J. Diff. Geom.,12, No. 4, 583?594 (1977). · Zbl 0421.57008
[240] A. Milani and C. Rea, ?Geometry and function algebra on pseudo-flat manifold,? Ann. Suola Norm. Super. Pisa, Sci. Fis., Mat.,26, No. 3, 695?709 (1972). · Zbl 0272.57014
[241] K. Millett, ?Compact foliations,? Lect. Notes Math.,484, 277?287 (1975).
[242] M. Miniconi, ?Familles de feuilletages analytiques,? C. R. Acad. Sci.,A278, No. 4, 273?276 (1974). · Zbl 0287.32015
[243] T. Mizutani, ?Remarks on codimension one foliations of spheres,? J. Math. Soc. Jpn.,24, No. 4, 732?735 (1972). · Zbl 0238.57014
[244] T. Mizutani, ?Foliated cobordisms of S3 and examples of foliated 4-manifolds,? Topology,13, No. 4, 353?362 (1974). · Zbl 0295.57012
[245] T. Mizutani, ?Foliations and foliated cobordisms of spheres in codimension one,? J. Math. Soc. Jpn.,27, No. 2, 264?280 (1975). · Zbl 0299.57011
[246] T. Mizutani and T. Tsuboi, ?Foliations without holonomy and foliated bundles,? Sci. Rep. Saitama Univ., Ser. A,9, No. 2, 45?55 (1979). · Zbl 0443.57019
[247] P. Molino, ?G-structures plates et classes caracteristiques,? C. R. Acad. Sci.,269, No. 19, A917-A919 (1969). · Zbl 0182.55201
[248] P. Molino, ?Classe d’Atiyah d’un feuilletage et connexions transverses projectables,? C. R. Acad. Sci.,272, No. 12, A779-A781 (1971). · Zbl 0211.26701
[249] P. Molino, ?Classes caracteristiques et obstruction d’Atiyah pour les fibres principaux feuilletes,? C. R. Acad. Sci.,272, No. 21, A1376-A1378 (1971). · Zbl 0212.29003
[250] P. Molino, ?Feuilletages et classes caracteristiques,? Symp. Math. Conv., 1971?1972, London-New York, Vol. 10 (1972), pp. 119?209.
[251] P. Molino, ?Proprietes cohomologiques et proprietes topologiques des feuilletages a connexion transverse projetable,? Topology,12, No. 4, 317?325 (1973). · Zbl 0269.57014
[252] P. Molino, ?La classe d’Atiyah d’un feuilletage comme cocycle de deformation infinitesimale,? C. R. Acad. Sci.,A278, No. 10, 719?721 (1974). · Zbl 0273.57007
[253] P. Molino, ??q-structures partielles et classes de Bott-Haefliger,? C. R. Acad. Sci.,281, Nos. 5?8, A203-A206 (1975).
[254] P. Molino, ?Sur la geometrie transverse des feuilletages,? Ann. Inst. Fourier,25, No. 2, 279?284 (1975). · Zbl 0301.57016
[255] P. Molino, ?Feulletages transversalement parallelizables et feuilletages de Lie. Applications,? C. R. Acad. Sci.,282, No. 2, A99-A101 (1976). · Zbl 0314.57015
[256] P. Molino, ?Etude des feuilletages transversalement complets et applications,? Ann. Sci. Ecole Norm. Super.,10, No. 3, 289?307 (1977). · Zbl 0368.57007
[257] P. Molino, ?Feuilletages Riemanniens sur les varietes compactes; champs de Killing transverses,? C. R. Acad. Sci.,AB289, No. 7, A421-A423 (1979). · Zbl 0447.57018
[258] A. Morgan, ?Holonomy and metric properties of foliations in higher codimension,? Proc. Am. Math. Soc.,58, 255?261 (1976). · Zbl 0303.57013
[259] S. Morita, ?A remark on the continuous variations of secondary characteristic classes for foliations,? J. Math. Soc. Jpn.,29, No. 2, 253?260 (1977). · Zbl 0343.57013
[260] S. Morita, ?Cartan connections and characteristic classes of foliations,? Proc. Jpn. Acad.,A53, No. 7, 211?214 (1977). · Zbl 0392.57007
[261] M. Mostow, ?Variations, characteristic classes, and the obstruction to mapping smooth to continuous cohomology,? Trans. Am. Math. Soc.,240, 163?182 (1978). · Zbl 0387.57007
[262] R. Moussu, ?Sur un theoreme de Novikov,? Rev. Colomb. Mat.,3, No. 3, 51?81 (1969). · Zbl 0199.27002
[263] R. Moussu, ?Feuilletage sans holonomie d’une variete fermee,? C. R. Acad. Sci.,270, No. 20, A1308-A1311 (1970). · Zbl 0205.27803
[264] R. Moussu, ?Feuilletage de codimension 1 transverse au bord,? C. R. Acad. Sci.,271, No. 1, A15-A18 (1970). · Zbl 0207.54201
[265] R. Moussu, ?Feuilletages presque sans holonomie,? C. R. Acad. Sci.,272, No. 2, A114-A117 (1971). · Zbl 0204.56403
[266] R. Moussu, ?Sur les problemes de classification de feuilletages,? Rev. Colomb. Mat.,6, Nos. 3?4, 59?68 (1972). · Zbl 0259.57012
[267] R. Moussu, ?Sur les classes exotiques des feuilletages,? Lect. Notes Math.,392, 37?42 (1974). · Zbl 0292.57021
[268] R. Moussu and F. Pelletier, ?Sur le theoreme de Poincare-Bendixson,? Ann. Inst. Fourier,24, No. 1, 131?148 (1974). · Zbl 0273.57008
[269] R. Moussu and R. Roussarie, ?Une condition suffisante pour qu’un feuilletage soit sans holonomie,? C.R. Acad. Sci.,271, No. 4, A240-A243 (1970). · Zbl 0196.26902
[270] S. Nishikawa, ?Residues and secondary characteristic classes for projective foliations,? Proc. Jpn. Acad.,A54, No. 3, 79?82 (1978). · Zbl 0398.57016
[271] S. Nishikawa and H. Sato, ?On characteristic classes of Riemannian, conformai and projective foliations,? J. Math. Soc. Jpn.,28, No. 2, 224?241 (1976). · Zbl 0318.57025
[272] S. Nishikawa and M. Takeuchi, ??-foliations and semisimple flat homogeneous spaces,? Tohoku Math. J.,30, No. 2, 307?335 (1978). · Zbl 0387.57011
[273] T. Nishimori, ?Isolated ends of open leaves of codimension-one foliations,? Q. J. Math.,26, No. 102, 159?167 (1975). · Zbl 0303.57012
[274] T. Nishimori, ?Compact leaves with Abelian holonomy,? Tohoku Math. J.,27, No. 2, 259?272 (1975). · Zbl 0324.57019
[275] T. Nishimori, ?Behaviour of leaves of codimension one foliations,? Tohoku Math. J.,29, No. 2, 255?273 (1977). · Zbl 0356.57020
[276] T. Nishimori, ?Ends of leaves of codimension-one foliations,? Tohoku Math. J.,31, No. 1, 1?22 (1979). · Zbl 0405.57015
[277] Gen-ichi Oshikiri, ?The surgery of codimension-one foliations,? Tohoku Math. J.,31, No. 1, 63?70 (1979). · Zbl 0407.57022
[278] C. F. B. Palmeira, ?Varietes ouvertes feuilletees par plans,? C. R. Acad. Sci.,283, No. 5, A237-A239 (1976). · Zbl 0333.57014
[279] C. F. B. Palmeira, ?Open manifolds foliated by planes,? Ann. Math.,307, No. 1, 109?131 (1978). · Zbl 0382.57010
[280] J. S. Pasternack, ?Foliations and compact Lie groups actions,? Comment. Math. Helv.,46, No. 4, 467?477 (1971). · Zbl 0228.57020
[281] J. S. Pasternack, ?Classifying spaces for Riemannian foliations,? Proc. Symp. Pure Math., Stanford, Calif., 1973, Providence, Vol. 27, Part 1 (1975), pp. 303?310. · Zbl 0324.57017
[282] A. Phillips, ?Smooth maps transverse to a foliation,? Bull. Am. Math. Soc.,76, No. 4, 792?797 (1970). · Zbl 0198.28404
[283] H. V. Pittie, ?The secondary characteristic classes of parabolic foliations,? Comment. Math. Helv.,54, 601?614 (1979). · Zbl 0435.57007
[284] J. F. Plante, ?Asymptotic properties of foliations,? Comment. Math. Helv.,47, No. 4, 449?456 (1972). · Zbl 0254.57015
[285] J. F. Plante, ?A generalization of the Poincare-Bendixson theorem for foliation of codimension one,? Topology,12, No. 2, 177?181 (1973). · Zbl 0254.57014
[286] J. F. Plante, ?On the existence of exceptional minimal sets in foliations of codimension one,? J. Diff. Eq.,15, No. 1, 178?194 (1974). · Zbl 0294.57017
[287] J. F. Plante, ?Foliations transverse to fibers of a bundle,? Proc. Am. Math. Soc.,24, No. 2, 631?635 (1974). · Zbl 0276.57009
[288] J. F. Plante, ?Foliations with measure preserving holonomy,? Lect. Notes Math.,468, 6?7 (1975). · Zbl 0312.57017
[289] J. F. Plante, ?Foliations with measure preserving holonomy,? Ann. Math.,102, No. 2, 327?361 (1975). · Zbl 0314.57018
[290] J. F. Plante and W. Thurston, ?Polynomial growth in holonomy groups of foliations,? Comment. Math. Helv.,51, No. 4, 567?584 (1976). · Zbl 0348.57009
[291] J. Pradines, ?Remarque sur le theoreme d’annulation de Bott-Martinet,? C. R. Acad. Sci.,282, No. 10, A527-A529 (1976). · Zbl 0326.53025
[292] J. Pradines, ?Un feuilletage sans holonomie transversale, dont le quotient n’est pas que Q-variete,? C. R. Acad. Sci.,AB288, No. 4, A245-A248 (1979). · Zbl 0402.57016
[293] Ngo van Que, ?Feuilletage a singularites de varietes de dimension 3 (theoreme de J. Wood),? J. Diff. Geom.,6, No. 4, 473?478 (1972). · Zbl 0258.57007
[294] O. H. Rasmussen, ?Foliations with bundle-like metric,? Prepr. Ser. Mat. Inst. Aarhus Univ., No. 26, 33 (1971?1972).
[295] O. H. Rasmussen, ?Locally free Rn?1 actions on Mn,? Prepr. Ser. Mat. Inst. Aarhus Univ., No. 32, 13 (1971?1972).
[296] O. H. Rasmussen, ?Reeb foliations,? Prepr. Ser. Mat. Inst. Aarhus Univ., No. 58, 8 (1973).
[297] O. H. Rasmussen, ?The horocyclic foliation,? Prepr. Ser. Mat. Inst. Aarhus Univ., No. 3, 21 (1975?1976).
[298] O. H. Rasmussen, ?Exotic characteristic classes for holomorphic foliations,? Invent. Math.,46, No. 2, 153?171 (1978). · Zbl 0361.57017
[299] B. Raymond, ?Ensembles de Cantor et feuilletages,? These Doct. Sci., Univ. Paris, 67 (1976).
[300] C. Rea, ?Levi-flat submanifolds and holomorphic extension of foliations,? Ann. Suola Norm. Super. Pisa., Sci. Fis. Mat.,26, No. 3, 665?681 (1972). · Zbl 0272.57013
[301] C. Rea, ?Varieta pseudo-platte,? Symp. Math. 1st. Naz. Alta Mat. Conv., Nov. 1971-Maggio 1972, London-New York, Vol. 11 (1973), pp. 347?354.
[302] G. Reeb, Sur Certaines Proprietes Topologiques des Varietes Feuilletees, Actualite Sci. Indust., 1183, Hermann, Paris (1952).
[303] G. Reeb, ?Structures feuilletees,? Lect. Notes Math.,652, 104?113 (1978). · Zbl 0377.57002
[304] B. L. Reinhart, ?Harmonie integrals on foliated manifolds,? Am. J. Math.,81, No. 2, 529?536 (1959). · Zbl 0088.07902
[305] B. L. Reinhart, ?Holonomy invariants for framed foliations,? Lect. Notes Math.,392, 47?52 (1974). · Zbl 0291.57017
[306] B. L. Reinhart, ?The second fundamental form of a plane field,? J. Diff. Geom.,12, No. 4, 619?627 (1977). · Zbl 0379.53018
[307] B. L. Reinhart and J. W. Wood, ?A metric formula for the Godbillon-Vey invariant for foliations,? Proc. Am. Math. Soc.,38, No. 2, 427?430 (1973). · Zbl 0263.57010
[308] C. Roger, ?Sur les classes characteristiques des feuilletages donnes par des isometries,? C. R. Acad. Sci.,276, No. 18, A1185-A1188 (1973). · Zbl 0255.57011
[309] C. Roger, ?Etude des ?-structures de codimension 1 sur la sphere S2,? Ann. Inst. Fourier,23, No. 4, 213?227 (1973?1974). · Zbl 0269.58006
[310] C. Roger, ?Methodes homotopiques et cohomologiques en theorie des feuilletages,? These Doct. Sci. Math., Univ. Paris, 142 (1976).
[311] H. Rosenberg, ?Feuilletages sur des spheres (d’apres H. Blaine Lawson),? Lect. Notes Math.,244, 221?232 (1971).
[312] H. Rosenberg, ?Un contrexemple a la conjecture de Scifert (d’apres P. Schweitzer),? Lect. Notes Math.,383, 294?306 (1974).
[313] H. Rosenberg and R. Roussarie, ?Reeb foliations,? Ann. Math.,91, No. 1, 1?24 (1970). · Zbl 0198.28402
[314] H. Rosenberg and R. Roussarie, ?Topological equivalence of Reeb foliations,? Topology,9, No. 3, 231?242 (1970). · Zbl 0211.26602
[315] H. Rosenberg and R. Roussarie, ?Les feuilles exceptionelles ne sont pas exceptionelles,? Comment. Math. Helv.,45, No. 4, 517?523 (1970). · Zbl 0209.54705
[316] H. Rosenberg and R. Roussarie, ?Some remarks on stability of foliations,? J. Diff. Geom.,10, No. 2, 207?219 (1975). · Zbl 0313.57016
[317] R. Roussarie, ?Sur les feuilletages des varietes de dimension trois,? These Doct. Sci. Math., Fac. Sci. Orsay Univ., Paris, 70 (1969). · Zbl 0212.56301
[318] R. Roussarie, ?Sur les feuilletages des varietes de dimension trois,? Ann. Inst. Fourier,21, No. 3, 18?32 (1971). · Zbl 0208.25702
[319] R. Roussarie, ?Phenomenes de stabilite et d’instabilite dans les feuilletages,? Lect. Notes Math.,392, 53?60 (1974).
[320] R. Roussarie, ?Constructions de feuilletages (d’apres W. Thurston),? Lect. Notes Math.,677, 138?154 (1978). · Zbl 0384.57012
[321] R. Sacksteder, ?A remark on Thurston’s stability theorem,? Ann. Inst. Fourier,25, No. 2, 219?220 (1975). · Zbl 0318.57032
[322] K. S. Sarkaria, ?A finiteness theorem for foliated manifolds,? J. Math. Soc. Jpn.,30, No. 4, 687?696 (1978). · Zbl 0398.57012
[323] G. W. Schwartz, ?On the de Rham cohomology of the leaf space of a foliation,? Topology,13, No. 2, 185?187 (1974). · Zbl 0282.57016
[324] P. A. Schweitzer, ?Counterexample to the Scifert conjecture and opening leaves of foliations,? Ann. Math.,100, No. 2, 386?400 (1974). · Zbl 0295.57010
[325] P. A. Schweitzer, ?Compact leaves of foliations,? Lect. Notes Math.,468, 4?6 (1975). · Zbl 0306.57016
[326] P. A. Schweitzer, ?Compact leaves of codimension one foliations,? Lect. Notes Math.,484, 273?276 (1975). · Zbl 0309.57011
[327] P. A. Schweitzer, ?Codimension one plane fields and foliations,? Proc. Symp. Pure Math., Stanford, Calif., 1973, Providence, Vol. 27, Part 1 (1975), pp. 311?312.
[328] P. A. Schweitzer, ?Compact leaves of foliations,? Proc. Int. Congr. Math., Vancouver, 1974, Vol. 1, S. 1 (1975), pp. 543?546.
[329] P. A. Schweitzer, ?Some problems in foliation theory and related areas,? Lect. Notes Math.,652, 240?252 (1978). · Zbl 0377.57001
[330] P. A. Schweitzer and A. P. Whitman, ?Pontryagin polynomial residues of isolated foliation singularities,? Lect. Notes Math.,652, 95?103 (1978). · Zbl 0409.57029
[331] A. Sec, ?Sur certaines equations de Pfaff completement integrables dans le champ complexe (proprietes du feuilletage associe),? Lect. Notes Math.,484, 224?233 (1975). · Zbl 0324.57016
[332] A. Sec and R. Gerard, ?Feuilletages de Painleve et equations de Pfaff,? C. R. Acad. Sci.,270, No. 18, 1166?1169 (1970).
[333] G. Segal, ?Classifying spaces related to foliations,? Topology,17, No. 4, 367?382 (1978). · Zbl 0398.57018
[334] F. Sergeraert, ?Feuilletages et diffeomorphismes infinitement tangent a 1’identite,? Invent. Math.,39, No. 3, 253?275 (1977). · Zbl 0327.58004
[335] F. Sergeraert, ?B? (d’apres Mather et Thurston),? Lect. Notes Math.,710, 300?315 (1979).
[336] H. Shulman, ?Secondary obstruction to foliations,? Topology,13, No. 2, 177?183 (1974). · Zbl 0282.57017
[337] H. Shulman, ?The double complex of ?k,? Proc. Symp. Pure Math., Stanford, Calif., 1973, Providence, Vol. 27, Part 1 (1975), pp. 313?314.
[338] H. Shulman and J. Stasheff, ?De Rham theory for B?,? Lect. Notes Math.,652, 62?74 (1978). · Zbl 0388.57016
[339] H. Shulman and D. Tischler, ?Leaf invariants for foliations and the Van Est isomorphism,? J. Diff. Geom.,11, No. 4, 535?546 (1976). · Zbl 0361.57022
[340] E. Silberstein, ?Multifoliations on Mn{\(\times\)}S1 where Mn is a stably parallelizable manifold,? Proc. London Math. Soc.,35, No. 3, 463?482 (1977). · Zbl 0382.57009
[341] M. Simonnet, ?Feuilletages et sous-fibres integrables,? Esquis. Math., No. 28, 1?65 (1977). · Zbl 0398.57010
[342] J. W. Smith, ?Extending regular foliations,? Ann. Inst. Fourier,19, No. 2, 155?168 (1969?1970). · Zbl 0176.21403
[343] J. D. Sondow, ?When is a manifold a leaf of some foliation?,? Bull. Am. Math. Soc.,81, No. 3, Part 1, 622?624 (1975). · Zbl 0309.57012
[344] D. Sullivan, ?A new flow,? Bull. Am. Math. Soc.,82, No. 2, 331?332 (1976). · Zbl 0344.58017
[345] D. Sullivan, ?A generalization of Milnor’s inequality concerning affine foliations and affine manifolds,? Comment. Math. Helv.,51, No. 2, 183?189 (1976). · Zbl 0335.57017
[346] D. Sullivan, ?Cycles for the dynamical study of foliated manifolds and complex manifolds,? Invent. Math.,36, 225?255 (1976). · Zbl 0335.57015
[347] D. Sullivan, ?A foliation of geodesies is characterized by having no ?tangent homologies,?? J. Pure Appl. Algebra,13, No. 1, 101?104 (1978). · Zbl 0402.57015
[348] D. Sullivan, ?A homological characterization of foliations consisting of minimal surfaces,? Comment. Math. Helv.,54, No. 2, 218?223 (1979). · Zbl 0409.57025
[349] H. Suzuki, ?Characteristic classes of foliated principal GLr-bundle,? Hokkaido Math. J.,4, No. 2, 159?168 (1975). · Zbl 0313.57013
[350] H. Suzuki, ?A property of characteristic class of an orbit foliation,? London Math. Soc. Lect. Note Ser., No. 26, 190?203 (1977). · Zbl 0356.57013
[351] I. Tamura, ?Spinnable structures on differentiable manifolds,? Proc. Jpn. Acad.,48, No. 5, 293?296 (1972). · Zbl 0252.57009
[352] I. Tamura, ?Every odd dimensional sphere has a foliation of codimension one,? Comment, Math, Helv.,47, No. 2, 164?170 (1972). · Zbl 0249.57013
[353] I. Tamura, ?Foliations of total spaces of sphere bundles over spheres,? J. Math. Soc. Jpn.,24, No. 4, 698?700 (1972). · Zbl 0241.57011
[354] I. Tamura, ?Foliations and spinnable structures on manifolds,? Ann. Inst. Fourier,23, No. 2, 197?214 (1973). · Zbl 0269.57012
[355] I. Tamura, The Topology of Foliations, Iwanami Shoten Publ., Tokyo (1976). · Zbl 0584.57001
[356] I. Tamura and T. Mizutani, ?Null-cobordant codimension one foliation on S4n?1,? J. Fac. Sci. Univ. Tokyo, Sec. 1A,24, No. 1, 93?96 (1977). · Zbl 0363.57019
[357] D. Tanre, ?Groupes feuilletes,? Esquis Math., No. 20, 1?35 (1973). · Zbl 0288.22002
[358] W. P. Thurston, ?Noncobordant foliations of S3,? Bull. Am. Math. Soc.,78, No. 4, 511?514 (1972). · Zbl 0266.57004
[359] W. P. Thurston, ?Foliations and groups of diffeomorphisms,? Bull. Am. Math. Soc.,80, No. 2, 304?307 (1974). · Zbl 0295.57014
[360] W. P. Thurston, ?The theory of foliations of codimension greater than one,? Comment. Math. Helv.,49, No. 2, 214?231 (1974). · Zbl 0295.57013
[361] W. P. Thurston, ?A generalization of the Reeb stability theorem,? Topology,13, No. 4, 347?352 (1974). · Zbl 0305.57025
[362] W. P. Thurston, ?The theory of foliations of codimension greater than one,? Proc. Symp. Pure Math., Stanford, Calif., 1973, Providence, Vol. 27, Part 1 (1975), p. 320. · Zbl 0295.57013
[363] W. P. Thurston, ?A local construction of foliations for three-manifolds,? Proc. Symp. Pure Math., Stanford, Calif., 1973, Providence, Vol. 27, Part 1 (1975), pp. 315?319.
[364] W. P. Thurston, ?On the construction and classification of foliations,? Proc. Int. Congr. Math., Vancouver, Vol. 1, S. 1 (1975), pp. 547?549. · Zbl 0332.57014
[365] W. P. Thurston, ?Existence of codimension one foliations,? Ann. Math.,104, No. 2, 249?268 (1976). · Zbl 0347.57014
[366] W.-L. Ting, ?On nontrivial characteristic classes of contact foliations,? Proc. Am. Math. Soc.,75, No. 1, 131?138 (1979). · Zbl 0412.57021
[367] T. Tsuboi, ?Foliations with trivial ? -subgroups,? Topology,18, No. 3, 223?233 (1979). · Zbl 0415.57013
[368] I. Vaisman, ?Sur la cohomologie des varietes Riemanniennes feuilletees,? C. R. Acad. Sci.,268, No. 13, A720-A723 (1969). · Zbl 0175.20302
[369] I. Vaisman, ?Sur la cohomologie des varietes analytiques complexes feuilletees,? C. R. Acad. Sci.,273, No. 22, A1067-A1070 (1971). · Zbl 0221.53061
[370] I. Vaisman, ?Sur l’existence des operateurs differentiels feuilletes a symbole donne,? C. R. Acad. Sci.,276, No. 17, A1165-A1168 (1973). · Zbl 0251.58009
[371] I. Vaisman, ?Remarks about differential operators on foliate manifolds,? An. Sti. Univ. Iasi, Sec. la,20, No. 2, 327?350 (1974). · Zbl 0375.57009
[372] I. Vaisman, ?From the geometry of Hermitian foliate manifolds,? Bull. Math. Soc. Sci. Math. RSR,17, No. 1, 71?100 (1973?1974). · Zbl 0299.53021
[373] I. Vaisman, ?On the differential geometry of the transverse bundle of a foliation,? Rev. Roum. Math. Pures Appl.,20, No. 1, 89?101 (1975). · Zbl 0306.53033
[374] I. Vaisman, ?A class of complex analytic foliate manifolds with rigid structure,? J. Diff. Geom.,12, No. 1, 119?131 (1977). · Zbl 0346.32027
[375] I. Vaisman, ?Conformai foliations,? Kodai Math. J.,2, No. 1, 26?37 (1979). · Zbl 0402.57014
[376] J. Vey, ?Quelques constructions relatives aux ?-structures,? C. R. Acad. Sci.,276, No. 17, A1151-A1153 (1973). · Zbl 0249.57012
[377] E. Vogt, ?Stable foliations of 4-manifolds by closed surfaces. I. Local structure and free actions of finite cyclic and dihedral groups on surfaces,? Invent. Math.,22, Nos. 3?4, 321?348 (1973). · Zbl 0268.57012
[378] E. Vogt, ?Foliations of codimension two with all leaves compact,? Manuscr. Math.,18, No. 2, 187?212 (1976). · Zbl 0316.57014
[379] E. Vogt, ?A periodic flow with infinite Epstein hierarchy,? Manuscr. Math.,22, No. 4, 403?412 (1977). · Zbl 0364.57006
[380] E. Vogt, ?Foliations of codimension 2 with all leaves compact on closed 3-, 4-, and 5-manifolds,? Math. Z.,157, No. 3, 201?223 (1977). · Zbl 0369.57008
[381] E. Wagneur, ?A generalization of Novikov’s theorem to foliations with isolated generic singularities,? Topology and Its Appl., Proc. Conf. Mem. Univ. Newfoundland, St. John’s, Canada, 1973, New York (1975), pp. 189?198.
[382] E. Wagneur, ?Reduction des points singuliers des feuilletages a singularites non degenerees de M3,? Can. Math. Bull.,19, No. 2, 221?230 (1976). · Zbl 0339.57010
[383] G. Wallet, ?Nullite de l’invariant de Godbillon-Vey d’un tore,? C. R. Acad. Sci.,283, No. 11, 821?823 (1976). · Zbl 0341.57018
[384] G. S. Whiston, ?Cobordism through one-codimensional foliations,? J. Diff. Geom.,11, No. 3, 475?478 (1976). · Zbl 0329.57005
[385] T. Willmore, ?Connexions and foliated structures,? Sitzungsber. Berlin Math. Ges., S. 1, S. A., 14?15 (1969?1971).
[386] F. W. Wilson, ?Vector fields tangent to foliations. II. Handlebody foliations,? J. Diff. Eq.,27, No. 1, 46?63 (1978). · Zbl 0339.57006
[387] H. E. Winkelnkemper, ?Manifolds as open books,? Bull. Am. Math. Soc.,79, No. 1, 45?51 (1973). · Zbl 0269.57011
[388] J. W. Wood, ?Foliations on 3-manifolds,? Doct. Diss. Berkeley Univ. Calif., 1968, Dissert. Abstr.,B29, No. 9, 3411?3412 (1969).
[389] J. W. Wood, ?Foliations on 3-manifolds,? Ann. Math.,89, No. 2, 336?358 (1970). · Zbl 0176.21402
[390] J. W. Wood, ?Foliations of codimension one,? Bull. Am. Math. Soc.,76, No. 5, 1107?1111 (1970). · Zbl 0201.25304
[391] K. Yamato, ?Qualitative theory of codimension-one foliations,? Proc. Jpn. Acad.,48, No. 6, 356?359 (1972). · Zbl 0262.57011
[392] K. Yamato, ?Qualitative theory of codimension-one foliations,? Nagoya Math. J.,49, 155?229 (1973). · Zbl 0265.57010
[393] K. Yamato, ?Examples of foliations with nontrivial exotic characteristic classes,? Proc. Jpn. Acad.,50, No. 2, 127?129 (1974). · Zbl 0306.57014
[394] K. Yamato, ?Examples of foliations with nontrivial exotic characteristic classes,? Osaka J. Math.,12, No. 2, 401?417 (1975). · Zbl 0318.57026
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.