Seifert manifolds admitting partially hyperbolic diffeomorphisms

2017/01/05 by Hammerlindl, Andy, Potrie, Rafael, Shannon, Mario · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1701.01196

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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• Hyperbolicity of complements of orbits in Anosov flows

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