Partial hyperbolicity and ergodicity in dimension three
Dynamical Systems
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0611787,
title = {Partial hyperbolicity and ergodicity in dimension three},
author = {F. Rodriguez Hertz and M. A. Rodriguez Hertz and R. Ures},
journal= {arXiv preprint arXiv:math/0611787},
year = {2007}
}
Comments
14 pages