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arXiv · 1506.07804

Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples

Christian Bonatti·Andrey Gogolev·Rafael Potrie
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Abstract

We construct examples of robustly transitive and stably ergodic partially hyperbolic diffeomorphisms $f$ on compact $3$-manifolds with fundamental groups of exponential growth such that $f^n$ is not homotopic to identity for all $n>0$. These provide counterexamples to a classification conjecture of Pujals.

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Christian Bonatti, Andrey Gogolev, Rafael Potrie. 2016-04-18. Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples. https://doi.org/10.1007/s00222-016-0663-7

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