Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples
Dynamical Systems
2016-12-21 v2 Geometric Topology
Abstract
We construct examples of robustly transitive and stably ergodic partially hyperbolic diffeomorphisms on compact -manifolds with fundamental groups of exponential growth such that is not homotopic to identity for all . These provide counterexamples to a classification conjecture of Pujals.
Cite
@article{arxiv.1506.07804,
title = {Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples},
author = {Christian Bonatti and Andrey Gogolev and Rafael Potrie},
journal= {arXiv preprint arXiv:1506.07804},
year = {2016}
}
Comments
30 pages, 7 figures. Updated version after referee's remarks. To appear in Inventiones Math