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Orbites des champs feuilletés pour un feuilletage riemannien sur une variété compacte. (Orbits of foliated vector fields for a Riemannian foliation on a compact manifold). (French) Zbl 0593.58003

Let F be a Riemannian foliation of codimension \(q=n-p\) on a compact manifold V of dimension n. The natural stratification of V is defined using the dimension of the closures of the leaves and the cardinal of their holonomy. It is proved that on each stratum the orbits of foliated vector fields define a foliation transverse to the closure of the leaves and with dense leaves.
Reviewer: G.Cattaneo

MSC:

58A35 Stratified sets
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