Symbolic extensions for partially hyperbolic diffeomorphisms
Dynamical Systems
2009-06-12 v1
Abstract
We show that every partially hyperbolic diffeomorphism with a 1-dimensional center bundle has a principal symbolic extension. On the other hand, we show there are no symbolic extensions -generically among diffeomorphisms containing non-hyperbolic robustly transitive sets with center indecomposable bundle of dimension at least 2.
Cite
@article{arxiv.0906.2176,
title = {Symbolic extensions for partially hyperbolic diffeomorphisms},
author = {Lorenzo J. Diaz and Todd Fisher},
journal= {arXiv preprint arXiv:0906.2176},
year = {2009}
}
Comments
19 pages, 3 figures