On orbit equivalence of quasiconformal Anosov flows

Yong Fang

On orbit equivalence of quasiconformal Anosov flows

Dynamical Systems 2007-05-23 v1

Authors: Yong Fang

Abstract

In this article, we give a quasi-final classification of quasiconformal Anosov flows. We deduce a very interesting differentable rigidity result for the orbit foliations of hyperbolic manifold of dimension at least three.

Keywords

quasiconformal anosov flows orbit equivalence classification differentiable rigidity orbit foliations hyperbolic manifolds

Cite

@article{arxiv.math/0503192,
  title  = {On orbit equivalence of quasiconformal Anosov flows},
  author = {Yong Fang},
  journal= {arXiv preprint arXiv:math/0503192},
  year   = {2007}
}

Comments

This article is sumitted to Annale Scientifique de l'Ecole Normale Sup\'{e}rieure. Our result is to be compared to a theorem of E.Ghys concerning topological classification of Anosov flows on the unitary bundles of hyperbolisable manifolds (see his article in ETDS, 80')

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