Seifert manifolds admitting partially hyperbolic diffeomorphisms

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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Contributor : Sébastien Mazzarese <>
Submitted on : Saturday, October 20, 2018 - 10:12:14 PM
Last modification on : Friday, February 22, 2019 - 11:16:45 AM

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Andy Hammerlindl, Rafael Potrie, Mario Shannon. Seifert manifolds admitting partially hyperbolic diffeomorphisms. Journal of modern dynamics, American Institute of Mathematical Sciences, 2018, 12, pp.193-222. ⟨10.3934/jmd.2018008⟩. ⟨hal-01900109⟩



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