On uniformly quasiconformal Anosov systems

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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 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 conjugate to the geodesic flow of a manifold of constant negative curvature.

Original languageEnglish (US)
Pages (from-to)425-441
Number of pages17
JournalMathematical Research Letters
Volume12
Issue number2-3
DOIs
StatePublished - 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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