Seifert manifolds admitting partially hyperbolic diffeomorphisms
Dynamical Systems
2018-04-05 v2 General Topology
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.
Cite
@article{arxiv.1701.01196,
title = {Seifert manifolds admitting partially hyperbolic diffeomorphisms},
author = {Andy Hammerlindl and Rafael Potrie and Mario Shannon},
journal= {arXiv preprint arXiv:1701.01196},
year = {2018}
}
Comments
32 pages, 4 figures. Some revisions after referee report. To appear in JMD