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arXiv · 2407.16650

Anosov diffeomorphisms of open surfaces

Snir Ben Ovadia·Jonathan DeWitt
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Abstract

We study the existence of Anosov diffeomorphisms on complete open surfaces. We show that under the assumptions of density of periodic points and uniform geometry that such diffeomorphisms have a system of Margulis measures, which are a holonomy invariant and dynamically invariant system of measures along the stable and unstable leaves.

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Snir Ben Ovadia, Jonathan DeWitt. 2024-07-23. Anosov diffeomorphisms of open surfaces. https://arxiv.org/abs/2407.16650

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