Partial hyperbolicity and ergodicity in dimension three

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In [15] the authors proved the Pugh-Shub conjecture for partially hyperbolic diffeomorphisms with 1-dimensional center, i.e. stable ergodic diffeomorphism are dense among the partially hyperbolic ones. In this work we address the issue of giving a more accurate description of this abundance of ergodicity. In particular, we give the first examples of manifolds in which all conservative partially hyperbolic diffeomorphisms are ergodic.
14 pages

Keywords

Dynamical Systems, 37D30; 37A25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/119420

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611787
 http://arxiv.org/abs/math/0611787

Collections

arXiv