Smooth rigidity of uniformly quasiconformal Anosov flows

Details Smooth rigidity of uniformly quasiconformal Anosov flows Smooth rigidity of uniformly quasiconformal Anosov flows

2005-03-10

arxiv.org/abs/math/0503188v1

Ergodic Theory and Dynamical Systems 24 (2004) 1937-1959

Mathematics

Dynamical Systems

Our results generalise to higher dimensions the classification of E.Ghys of holomorphic Anosov diffeomorphisms of complex surf

Scientific paper

We classify quasiconformal Anosov flows whose strong stable and unstable distributions are at least two dimensional and the sum of these two distributions is smooth. We deduce from this classification result the complete classification of volume-preserving quasiconformal diffeomorphisms whose stable and unstable distributions are at least two dimensional. Our central idea is to take a good time change so that perodic orbits are equi-distributed with respect to a lebesgue measure.

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