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

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

2007-05-18

arxiv.org/abs/0705.2735v1

Mathematics

Geometric Topology

20 pages

Scientific paper

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.

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