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arXiv · 2210.16702

Periodic data rigidity of Anosov automorphisms with Jordan blocks

Jonathan DeWitt
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Abstract

Anosov automorphisms with Jordan blocks are not periodic data rigid. We introduce a refinement of the periodic data and show that this refined periodic data characterizes $C^{1+}$ conjugacy for Anosov automorphisms of the four dimensional torus with a Jordan block.

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Jonathan DeWitt. 2022-10-29. Periodic data rigidity of Anosov automorphisms with Jordan blocks. https://doi.org/10.1017/etds.2024.56

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