Anosov diffeomorphisms of open surfaces

Snir Ben Ovadia; Jonathan DeWitt

doi:10.1007/s10711-025-01020-7

Anosov diffeomorphisms of open surfaces

Snir Ben Ovadia
, Jonathan DeWitt

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	62
Journal	Geometriae Dedicata
Volume	219
Issue number	4
DOIs	https://doi.org/10.1007/s10711-025-01020-7
State	Published - Aug 2025

All Science Journal Classification (ASJC) codes

Geometry and Topology

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Anosov diffeomorphisms of open surfaces

Abstract

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