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

^*Corresponding author for this work

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

1 Scopus citations

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
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
Externally published	Yes

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© The Author(s) 2025.

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Anosov diffeomorphisms of open surfaces

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