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arXiv · 1705.08860

Geometric growth for Anosov maps on the $3$ torus

Mauricio Poletti
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Abstract

We prove that for Anosov maps of the $3$-torus if the Lyapunov exponents of absolutely continuous measures in every direction are equal to the geometric growth of the invariant foliations then $f$ is $C^1$ conjugated to his linear part.

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Mauricio Poletti. 2018-02-21. Geometric growth for Anosov maps on the $3$ torus. https://arxiv.org/abs/1705.08860

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