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arXiv · 1410.8629

Center bunching without dynamical coherence

Andy Hammerlindl
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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.

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Andy Hammerlindl. 2014-10-31. Center bunching without dynamical coherence. https://arxiv.org/abs/1410.8629

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