CENTER MANIFOLDS FOR PARTIALLY HYPERBOLIC SETS WITHOUT STRONG UNSTABLE CONNECTIONS
| Affiliation auteurs | Affiliation ok |
| Titre | CENTER MANIFOLDS FOR PARTIALLY HYPERBOLIC SETS WITHOUT STRONG UNSTABLE CONNECTIONS |
| Type de publication | Journal Article |
| Year of Publication | 2016 |
| Auteurs | Bonatti C, Crovisier S |
| Journal | JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU |
| Volume | 15 |
| Pagination | 785-828 |
| Date Published | OCT |
| Type of Article | Article |
| ISSN | 1474-7480 |
| Mots-clés | center manifold, heteroclinic intersection, partial hyperbolicity |
| Résumé | 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. |
| DOI | 10.1017/S1474748015000055 |