paper

Seifert manifolds admitting partially hyperbolic diffeomorphisms

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.

32 pages, 4 figures. Some revisions after referee report. To appear in JMD