A List of Questions about Foliations
نویسندگان
چکیده
A Examples and counter-examples of foliations A.1. Elmar Vogt A.1.1 Question : Let F be a compact foliation (i.e. a foliation with all leaves compact) of codimension 3 on a compact manifold. Let B be the first bad set of the Epstein hierarchy of F , i.e. B is the union of all leaves of F with infinite holonomy group. If B is not empty, can B be a manifold ? Remarks : In [44], arguments (due to M. Hirsch and D.B.A. Epstein) are presented that make it plausible that B cannot be a manifold , at least in the case of a 1-dimensional foliation. That there are compact foliations of codimension 3 on compact manifolds with non-empty B was established by D.B.A. Epstein and E. Vogt [13].
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