Home > Articles > Published articles > Volumes transverses aux feuilletages d'efinissables dans des structures o-minimales |
Date: | 2003 |
Abstract: | Let Fλ be a family of codimension p foliations defined on a family Mλ of manifolds and let Xλ be a family of compact subsets of Mλ. Suppose that Fλ, Mλ and Xλ are definable in an o-minimal structure and that all leaves of Fλ are closed. Given a definable family Ωλ of differential p-forms satisfaying iZ Ωλ = 0 forany vector field Z tangent to Fλ, we prove that there exists a constant A > 0 such that the integral of on any transversal of Fλ intersecting each leaf in at most one point is bounded by A. We apply this result to prove that p-volumes of transverse sections of Fλ are uniformly bounded. |
Rights: | Tots els drets reservats. |
Language: | Francès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Feuilletages réels ; Structures o-minimales ; Intégration de formes différentielles |
Published in: | Publicacions matemàtiques, V. 47 N. 2 (2003) , p. 441-450, ISSN 2014-4350 |
10 p, 152.5 KB |