Entropy-expansiveness for partially hyperbolic diffeomorphisms
Dynamical Systems
2011-10-19 v2
Abstract
We show that diffeomorphisms with a dominated splitting of the form , where is a nonhyperbolic central bundle that splits in a dominated way into 1-dimensional subbundles, are entropy-expansive. In particular, they have a principal symbolic extension and equilibrium states.
Cite
@article{arxiv.1010.0721,
title = {Entropy-expansiveness for partially hyperbolic diffeomorphisms},
author = {Todd Fisher and Lorenzo J. Diaz and Maria J. Pacifico and Jose L. Vieitez},
journal= {arXiv preprint arXiv:1010.0721},
year = {2011}
}
Comments
15 pages, 1 figure