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Molino, Pierre

Étude des feuilletages transversalement complets et applications. (French) Zbl 0368.57007

Ann. Sci. Éc. Norm. Supér. (4) 10, 289-307 (1977).
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Cited in 5 Reviews
Cited in 20 Documents

MSC:

57R30 Foliations in differential topology; geometric theory
53C10 \(G\)-structures
58H05 Pseudogroups and differentiable groupoids
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Full Text: DOI Numdam EuDML

References:

[1] R. BARRE , De quelques aspects de la théorie des Q-variétés (Ann. Inst. Fourier, XXIII (3), 1973 , p. 227-312). Numdam | MR 50 #1275 | Zbl 0258.57008 · Zbl 0258.57008 · doi:10.5802/aif.478
[2] L. CONLON , Transversally parallelisable foliations (Trans. Amer. Math. Society, 194, 1974 , p. 79-102). MR 51 #6844 | Zbl 0288.57011 · Zbl 0288.57011 · doi:10.2307/1996794
[3] H. DRIESSEN , Cohomologie basique des feuilletages de Lie (Thèse 3e cycle, Montpellier, 1976 ).
[4] CH. EHRESMANN , Structures feuilletées (Proc. 5e Can. Math., 1961 , p. 109). Zbl 0146.19501 · Zbl 0146.19501
[5] E. FEDIDA , Feuilletage de Lie (Thèse, Strasbourg, 1972 ).
[6] V. GUILLEMIN , A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras (J. Differential Geometry, 2, 1968 , p. 313-345). MR 41 #8481 | Zbl 0183.26102 · Zbl 0183.26102
[7] V. GUILLEMIN and S. STERNBERG , An algebraic model of transitive differential geometry (Bull. of Amer. Math. Soc., 70, 1964 , p. 16-47). Article | MR 30 #533 | Zbl 0121.38801 · Zbl 0121.38801 · doi:10.1090/S0002-9904-1964-11019-3
[8] A. HAEFLIGER , Variétés feuilletées (Annali Sc. Norm. Sup., Pisa, 16, 1964 , p. 367-397). Numdam | MR 32 #6487 | Zbl 0122.40702 · Zbl 0122.40702
[9] S. KOBAYASHI and K. NOMIZU , Fundations of differential geometry Interscience Publishers , 1963 . Zbl 0119.37502 · Zbl 0119.37502
[10] bis J. LESLIE , A remark on the group of automorphisms of a foliatlon having a dense leaf , (J. Differentil Geometry, 7, 1972 , pp. 597-601). MR 49 #11536 | Zbl 0293.58007 · Zbl 0293.58007
[11] P. MOLINO , (a) Connexions et G-structures sur les variétés feuilletées (Bull. Sc. Math., Paris, 92, 1968 , p. 59-63) ; (b) Propriétés cohomologiques et propriétés topologiques des feuilletages à C.T.P. (Topology, 12, 1973 , p. 317-325) ; (c) Sur la géométrie transverse des feuilletages (Ann. Inst. Fourier, XXV, 1975 , p. 279-284) ; (d) Feuilletages transversalement parallélisables et feuilletages de Lie (C.R. Acad. Sc., Paris, t. 282, série A, 1976 , p. 99-101). MR 38 #2807 | Zbl 0314.57015 · Zbl 0314.57015
[12] G. REEB , Sur certaines propriétés topologiques des variétés feuilletées , Hermann, Paris, 1952 . MR 14,1113a | Zbl 0049.12602 · Zbl 0049.12602
[13] B. REINHART , Foliated manifolds with bundle-like metrics (Annals of Maths., 69, 1959 , p. 119-132 MR 21 #6004 | Zbl 0122.16604 · Zbl 0122.16604 · doi:10.2307/1970097
[14] H. SUSSMANN , A generalization of the closed subgroup theorem to quotients of arbitrary manifolds (J. of Differential Geometry, 10, (1), 1975 , p. 151-166). MR 54 #13964 | Zbl 0342.58004 · Zbl 0342.58004
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