A note on the density of periodic orbits of Anosov geodesic flow in manifolds of finite volume

Fuente: arXiv
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Main Authors: Zarate, Nestor Nina, Romaña, Sergio
Format: Preprint
Published: 2024
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author Zarate, Nestor Nina
Romaña, Sergio
author_facet Zarate, Nestor Nina
Romaña, Sergio
contents In this paper, we prove that manifolds of finite volume with Anosov geodesic flow have dense periodic orbits. The same result works for conservative Anosov flows in non-compact cases.
format Preprint
id arxiv_https___arxiv_org_abs_2401_18031
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A note on the density of periodic orbits of Anosov geodesic flow in manifolds of finite volume
Zarate, Nestor Nina
Romaña, Sergio
Dynamical Systems
In this paper, we prove that manifolds of finite volume with Anosov geodesic flow have dense periodic orbits. The same result works for conservative Anosov flows in non-compact cases.
title A note on the density of periodic orbits of Anosov geodesic flow in manifolds of finite volume
topic Dynamical Systems
url https://arxiv.org/abs/2401.18031