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Smooth rigidity of uniformly quasiconformal Anosov flows

Published online by Cambridge University Press:  25 October 2004

YONG FANG
YONG FANG
Affiliation:
Laboratoire de Mathématique d'Orsay, U.M.R. 8628 du C.N.R.S, Université Paris-sud, France (e-mail: fangyong1@yahoo.fr)
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Abstract

We classify the $C^\infty$ volume-preserving uniformly quasiconformal Anosov flows, such that $E^+\oplus E^-$ is $C^\infty$ and the dimensions of E+ and E- are at least two. Then we deduce a classification of volume-preserving uniformly quasiconformal Anosov flows with smooth distributions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 6 , December 2004 , pp. 1937 - 1959
Copyright
2004 Cambridge University Press

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