02-418 R. de la Llave

Further rigidity properties of conformal Anosov systems (57K, LaTeX) Oct 8, 02

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Abstract. 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 B. Kalinin and V. Sadovskaia.

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