Volumes transverses aux feuilletages d'efinissables dans des structures o-minimales
Chazal, F. (Université de Bourgogne. Institut de Mathématiques de Bourgogne)
Lion, J.-M. (Université de Rennes)

Data:	2003
Resum:	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.
Drets:	Tots els drets reservats.
Llengua:	Francès
Document:	Article ; recerca ; Versió publicada
Matèria:	Feuilletages réels ; Structures o-minimales ; Intégration de formes différentielles
Publicat a:	Publicacions matemàtiques, V. 47 N. 2 (2003) , p. 441-450, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38081
DOI: 10.5565/PUBLMAT_47203_07

10 p, 152.5 KB

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