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Further rigidity properties of conformal Anosov systems

Published online by Cambridge University Press:  18 October 2004

R. DE LA LLAVE
R. DE LA LLAVE
Affiliation:
Department of Mathematics, University of Texas, Austin, TX 78712, USA (e-mail: llave@math.utexas.edu)
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Abstract

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We consider systems that have some hyperbolicity behavior and which preserve conformal structures on the stable and unstable bundles. We show that two such systems that are topologically conjugate are smoothly conjugate. This is somewhat more general than a conjecture of the author in 2002. Related results have also been obtained by Kalinin and Sadovskaia.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 5 , October 2004, pp. 1425 - 1441
Copyright
© 2004 Cambridge University Press