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arXiv · 1701.01196

Seifert manifolds admitting partially hyperbolic diffeomorphisms

Andy Hammerlindl·Rafael Potrie·Mario Shannon
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Abstract

We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a transitive partially hyperbolic diffeomorphism if and only if it admits an Anosov flow.

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Andy Hammerlindl, Rafael Potrie, Mario Shannon. 2017-01-05. Seifert manifolds admitting partially hyperbolic diffeomorphisms. https://arxiv.org/abs/1701.01196

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