Volumes transverses aux feuilletages d'efinissables dans des structures o-minimales
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...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | francés |
| OAI Identifier: | oai:ddd.uab.cat:2016 |
| Acesso em linha: | https://ddd.uab.cat/record/2016 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_47203_07 |
| Access Level: | acceso abierto |
| Palavra-chave: | Feuilletages réels Structures o-minimales Intégration de formes différentielles |
| Resumo: | 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. |
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