×

Structures de contact sur les fibrés principaux en cercles de dimension trois. (French) Zbl 0328.53024


MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
55R25 Sphere bundles and vector bundles in algebraic topology
PDF BibTeX XML Cite
Full Text: DOI Numdam EuDML

References:

[1] W. M. BOOTHBY and H.C. WANG, On contact manifolds, Ann. of Math., 68 (1958), 721-734. · Zbl 0084.39204
[2] J. CERF, Sur LES difféomorphismes de S3 (γ4 = 0), Lecture Notes n° 53 (1968). · Zbl 0164.24502
[3] S.S. CHERN, The geometry of G-structures, Bull. Amer. Math. Soc., 72 (1966), 167-219. · Zbl 0136.17804
[4] G. GODBILLON, Géométrie différentielle et mécanique analytique, Hermann, Paris, 1969. · Zbl 0174.24602
[5] J.W. GRAY, Some global properties of contact structures, Ann. of Math., 69, 2 (1959), 421-450. · Zbl 0092.39301
[6] S. KOBAYASHI, Principal fibre bundle with 1 dimensional toroidal group, Tokotu Math. Journal, 8 (1956), 29-45. · Zbl 0075.32103
[7] R. LUTZ, Sur l’existence de certaines formes différentielles sur S3, C.R.A.S. Paris, 270 (1970), 1597-1599. · Zbl 0194.53201
[8] et [8′] R. LUTZ, La géométrie des formes de Pfaff de classe constante 2s + 1, A paraître.
[9] J. MARTINET, Sur LES singularités des formes différentielles, Ann. Inst. Fourier, 20, 1 (1970), 95-178. · Zbl 0189.10001
[10] J. MILNOR, Topology from the differentiable viewpoint, Univ. of Virginia Press, 1965. · Zbl 0136.20402
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.