## Transversally parallelizable foliations of codimension two.(English)Zbl 0288.57011

### MSC:

 57R30 Foliations in differential topology; geometric theory 57R25 Vector fields, frame fields in differential topology
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### References:

 [1] Lars V. Ahlfors and Leo Sario, Riemann surfaces, Princeton Mathematical Series, No. 26, Princeton University Press, Princeton, N.J., 1960. · Zbl 0196.33801 [2] Raoul Bott, Lectures on characteristic classes and foliations, Lectures on algebraic and differential topology (Second Latin American School in Math., Mexico City, 1971) Springer, Berlin, 1972, pp. 1 – 94. Lecture Notes in Math., Vol. 279. Notes by Lawrence Conlon, with two appendices by J. Stasheff. [3] C. Chevalley, Theory of Lie groups. Vol. I, Princeton Math. Series, vol. 8, Princeton Univ. Press, Princeton, N. J., 1946. MR 7, 412. · Zbl 0063.00842 [4] André Haefliger, Variétés feuilletées, Ann. Scuola Norm. Sup. Pisa (3) 16 (1962), 367 – 397 (French). · Zbl 0122.40702 [5] A. Haefliger, Feuilletages sur les variétés ouvertes, Topology 9 (1970), 183 – 194 (French). · Zbl 0196.26901 [6] André Haefliger, Homotopy and integrability, Manifolds – Amsterdam 1970 (Proc. Nuffic Summer School), Lecture Notes in Mathematics, Vol. 197, Springer, Berlin, 1971, pp. 133 – 163. [7] Sze-tsen Hu, Homotopy theory, Pure and Applied Mathematics, Vol. VIII, Academic Press, New York-London, 1959. · Zbl 0088.38803 [8] A. L. Lundell and S. Weingram, The topology of CW complexes, Van Nostrand, New York, 1969. · Zbl 0207.21704 [9] Robert Moussu, Feuilletage sans holonomie d’une variété fermée, C. R. Acad. Sci. Paris Sér. A-B 270 (1970), A1308 – A1311 (French). · Zbl 0205.27803 [10] Robert Moussu, Sur un théorème de Novikov, Rev. Colombiana Mat. 3 (1969), 51 – 81 (French). · Zbl 0199.27002 [11] Robert Moussu and Robert Roussarie, Une condition suffisante pour qu’un feuilletage soit sans holonomie., C. R. Acad. Sci. Paris Sér. A-B 271 (1970), A240 – A243 (French). · Zbl 0196.26902 [12] S. P. Novikov, The topology of foliations, Trudy Moskov. Mat. Obšč. 14 (1965), 248 – 278 (Russian). [13] J. S. Pasternack, Foliations and compact Lie group actions, Comment. Math. Helv. 46 (1971), 467 – 477. · Zbl 0228.57020 [14] Bruce L. Reinhart, Foliated manifolds with bundle-like metrics, Ann. of Math. (2) 69 (1959), 119 – 132. · Zbl 0122.16604 [15] Harold Rosenberg, Actions of \?$$^{n}$$ on manifolds, Comment. Math. Helv. 41 (1966/1967), 170 – 178. · Zbl 0145.20301 [16] Richard Sacksteder, Foliations and pseudogroups, Amer. J. Math. 87 (1965), 79 – 102. · Zbl 0136.20903 [17] Paul A. Schweitzer, Counterexamples to the Seifert conjecture and opening closed leaves of foliations, Ann. of Math. (2) 100 (1974), 386 – 400. · Zbl 0295.57010
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