Homotopy groups in Lie foliations

Macias-Virgós, Enrique

doi:10.1090/S0002-9947-1994-1260205-9

Homotopy groups in Lie foliations
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by Enrique Macias-Virgós PDF

Trans. Amer. Math. Soc. 344 (1994), 701-711 Request permission

Abstract:

According to the results of Fédida and Molino [9], the structure of a G-Lie foliation F on a compact manifold M can be described by means of four locally trivial fibre bundles. In this paper we study the relations that those fibrations imply among the (rational) homotopy groups of: the manifold M, the generic leaf L, its closure $N = \bar L$, the basic manifold W, the Lie group G, and the structural Lie group H. Also, we prove that those relations are a particular case of an algebraic result concerning generalized homology theories.

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