Center Manifolds for Partially Hyperbolic Sets Without Strong Unstable Connections

Abstract : We consider compact sets which are invariant and partially hyperbolic under the dynamics of a diffeomorphism of a manifold. We prove that such a set K is contained in a locally invariant center submanifold if and only if each strong stable and strong unstable leaf intersects K at exactly one point.
Liste complète des métadonnées

https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01414891
Contributeur : Imb - Université de Bourgogne <>
Soumis le : lundi 12 décembre 2016 - 16:26:30
Dernière modification le : jeudi 11 janvier 2018 - 06:12:20

Lien texte intégral

Identifiants

Citation

Christian Bonatti, Sylvain Crovisier. Center Manifolds for Partially Hyperbolic Sets Without Strong Unstable Connections. Journal of the Institute of Mathematics of Jussieu, Cambridge University Press (CUP), 2016, 15 (04), pp.785 - 828. 〈https://www.cambridge.org/core/journals/journal-of-the-institute-of-mathematics-of-jussieu/article/div-classtitlecenter-manifolds-for-partially-hyperbolic-sets-without-strong-unstable-connectionsdiv/E95A4E35918A12752403AF746798BC94〉. 〈10.1017/S1474748015000055〉. 〈hal-01414891〉

Partager

Métriques

Consultations de la notice

111