English

Rigidity of pseudo-Anosov flows transverse to R-covered foliations

Geometric Topology 2007-05-23 v1 Dynamical Systems

Abstract

A foliation is R-covered if the leaf space in the universal cover is homeomorphic to the real numbers. We show that, up to topological conjugacy, there are at most two pseudo-Anosov flows transverse to such a foliation. If there are two, then the foliation is weakly conjugate to the the stable foliation of an R-covered Anosov flow. The proof uses the universal circle to R-covered foliations.

Keywords

Cite

@article{arxiv.0705.2735,
  title  = {Rigidity of pseudo-Anosov flows transverse to R-covered foliations},
  author = {Sergio R Fenley},
  journal= {arXiv preprint arXiv:0705.2735},
  year   = {2007}
}

Comments

20 pages