SATURATED LOCAL MODELS OF SINGULAR RIEMAN NIAN FOLIATIONS

Authors
BOUALEM H MOLINO P
Citation
H. Boualem et P. Molino, SATURATED LOCAL MODELS OF SINGULAR RIEMAN NIAN FOLIATIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 316(9), 1993, pp. 913-916
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
316
Issue
9
Year of publication
1993
Pages
913 - 916
Database
ISI
SICI code
0764-4442(1993)316:9<913:SLMOSR>2.0.ZU;2-A
Abstract
Let (M, F, g) be a singular riemannian foliation [6] on a compact mani fold. If (S, F(S), g(S)) is a compact submanifold saturated by leaves of the same dimension, one defines the transverse model of S, and one gives a general construction of the foliation in a tuhular neighbourho od of S. Results apply in the case where S is the minimal stratum of t he foliation, and in the case where S is the closure of a leaf.