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arXiv · 2104.01693

Anosov Endomorphisms on the 2-torus: Regularity of foliations and rigidity

Marisa Cantarino·Régis Varão
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Abstract

We provide sufficient conditions for smooth conjugacy between two Anosov endomorphisms on the 2-torus. From that, we also explore how the regularity of the stable and unstable foliations implies smooth conjugacy inside a class of endomorphisms including, for instance, the ones with constant Jacobian. As a consequence, we have in this class a characterization of smooth conjugacy between special Anosov endomorphisms and their linearizations.

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Marisa Cantarino, Régis Varão. 2021-04-04. Anosov Endomorphisms on the 2-torus: Regularity of foliations and rigidity. https://doi.org/10.1088/1361-6544/acf267

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