Mathematical Research Letters

Volume 12 (2005)

Number 3

On Uniformly Quasiconformal Anosov Systems

Pages: 425 – 441

DOI: http://dx.doi.org/10.4310/MRL.2005.v12.n3.a12

Author

Victoria Sadovskaya (University of South Alabama)

Abstract

We show that for any uniformly quasiconformal symplectic Anosov diffeomorphism of a compact manifold of dimension at least 4, its finite cover is $C^\infty$ conjugate to an Anosov automorphism of a torus. We also prove that any uniformly quasiconformal contact Anosov flow on a compact manifold of dimension at least 5 is essentially $C^\infty$ conjugate to the geodesic flow of a manifold of constant negative curvature.

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