Hyperbolicity in the Volume Preserving Scenario
Dynamical Systems
2010-05-12 v2
Abstract
Hayashi has extended a result of Ma\~n\'e, proving that every diffeomorphism which has a -neighborhood , where all periodic points of any are hyperbolic, it is an Axiom A diffeomorphism. Here, we prove the analogous result in the volume preserving scenario.
Keywords
Cite
@article{arxiv.1004.1664,
title = {Hyperbolicity in the Volume Preserving Scenario},
author = {Alexander Arbieto and Thiago Catalan},
journal= {arXiv preprint arXiv:1004.1664},
year = {2010}
}
Comments
We improve the presentation of the previous version and correct some issues about the symplectic case.