A C1 generic condition for existence of symbolic extensions of volume preserving diffeomorphisms
Dynamical Systems
2015-05-30 v2
Abstract
We prove that a C1-generic volume preserving diffeomorphism has a symbolic extension if and only if this diffeomorphism is partial hyperbolic. This result is obtained by means of good dichotomies. In particular, we prove Bonatti's conjecture in the volume preserving scenario. More precisely, in the complement of Anosov diffeomorphisms we have densely robust heterodimensional cycles.
Keywords
Cite
@article{arxiv.1109.3080,
title = {A C1 generic condition for existence of symbolic extensions of volume preserving diffeomorphisms},
author = {Thiago Catalan},
journal= {arXiv preprint arXiv:1109.3080},
year = {2015}
}