Center bunching without dynamical coherence
Dynamical Systems
2014-11-03 v1
Abstract
We answer a question of Burns and Wilkinson, showing that there are open families of volume-preserving partially hyperbolic diffeomorphisms which are accessible and center bunched and neither dynamically coherent nor Anosov. We also show in the volume-preserving setting that any diffeomorphism which is partially hyperbolic and Anosov may be isotoped to a diffeomorphism which is partially hyperbolic and not Anosov.
Cite
@article{arxiv.1410.8629,
title = {Center bunching without dynamical coherence},
author = {Andy Hammerlindl},
journal= {arXiv preprint arXiv:1410.8629},
year = {2014}
}
Comments
8 pages