Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus

Andrey Gogolev; Misha Guysinsky

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arXiv · 0802.1720

Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus

Andrey Gogolev·Misha Guysinsky

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Abstract

We consider two C^2 Anosov diffeomorphisms in a C^1 neighborhood of a linear hyperbolic automorphism of three dimensional torus with real spectrum. We prove that they are C^1+ conjugate if and only if the differentials of the return maps at corresponding periodic points have the same eigenvalues.

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Andrey Gogolev, Misha Guysinsky. 2008-09-02. Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus. https://arxiv.org/abs/0802.1720

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