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arXiv · 2004.10844

New examples of stably ergodic diffeomorphisms in dimension 3

Gabriel Nuñez·Davi Obata·Jana Rodriguez Hertz
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Abstract

We prove that in the isotopy class of any volume preserving partially hyperbolic diffeomorphism in a $3$-dimensional manifold, there is a non-partially hyperbolic stably ergodic diffeomorphism. In particular, we provide new examples of stably ergodic diffeomorphisms in 3-dimensional manifolds with respect to a smooth volume measure.

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Gabriel Nuñez, Davi Obata, Jana Rodriguez Hertz. 2020-04-22. New examples of stably ergodic diffeomorphisms in dimension 3. https://arxiv.org/abs/2004.10844

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