Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms
| dc.creator | Hertz, F. Rodriguez | |
| dc.creator | Hertz, MA. Rodriguez | |
| dc.creator | Ures, R. | |
| dc.date | 2006-09-13 | |
| dc.date.accessioned | 2026-07-07T07:24:47Z | |
| dc.date.available | 2026-07-07T07:24:47Z | |
| dc.description | We prove, for f a partially hyperbolic diffeomorphism with center dimension one, two results about the integrability of its central bundle. On one side, we show that if the non wandering set of f is the whole manifold, and the manifold is 3 dimensional, then the absence of periodic points implies the unique integrability of the central bundle. On the opposite side, we prove that any periodic point p of large period n has an f n invariant center manifold, everywhere tangent to the center bundle. We also obtain, as a consequence of the last result, that there is an open and dense subset of C 1 robustly transitive and partially hyperbolic diffeomorphisms with center dimension one, such that either the strong stable or the strong unstable foliation is minimal. This generalizes a result obtained in BDU for 3 dimensional manifolds to any dimension. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609365 | |
| dc.identifier | http://arxiv.org/abs/math/0609365 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116501 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D30 (Primary) 37D10 (Secondary) | |
| dc.title | Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms | |
| dc.type | text |