Anosov diffeomorphisms of open surfaces
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.
Authors
- Snir Ben Ovadia (ORCID: https://orcid.org/0009-0003-5799-6136)
- Jonathan DeWitt
Institutions
- Pennsylvania State University (US)
- University of Maryland, College Park (US)
Publication Details
- Journal
- Geometriae Dedicata
- Published
- 2025-06-09
- DOI
- https://doi.org/10.1007/s10711-025-01020-7
- Citations
- 1
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 3.69
Funders
- National Science Foundation