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<p>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.</p>

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Anosov diffeomorphisms of open surfaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月9日

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  • Snir Ben Ovadia,
  • Jonathan DeWitt

摘要

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.