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arXiv · 2311.00251

On uniformly quasiconformal Anosov diffeomorphisms with two dimensional distributions

Jiesong Zhang
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Abstract

We prove that a transitive uniformly $u$-quasiconformal Anosov diffeomorphism with a two-dimensional unstable distribution has a globally defined stable holonomy. As a corollary, we are able to remove an additional assumption in a theorem of Kalinin-Sadovskaya, and deduce that all transitive uniformly quasiconformal Anosov diffeomorphisms are $C^{\infty}$-conjugate to affine Anosov diffeomorphisms on infra-torus.

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Jiesong Zhang. 2023-11-01. On uniformly quasiconformal Anosov diffeomorphisms with two dimensional distributions. https://arxiv.org/abs/2311.00251

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