Mésures transverses et sections boréliennes dans les feuilletages. (French) Zbl 0609.57013

This article, the first in a series deals with foliations with holonomy invariant measures. The main part concerns generalized Seifert fibrations when one has such a (smooth) measure, and also Borel sections in a complete transversal; using them the author gives a Fubini integral type formula. He also states a relation to Souriau’s evolution space.
Reviewer: V.Sergiescu


57R30 Foliations in differential topology; geometric theory
58C35 Integration on manifolds; measures on manifolds