Work

Geodesic flows modeled by expansive flows

Year: 2017

Type: preprint

Abstract: Given a smooth compact surface without focal points and of higher genus, it is shown that its geodesic flow is semi-conjugate to a continuous expansive flow with a local product structure such that the semi-conjugation preserves time-parametrization. It is concluded that the geodesic flow has a unique measure of maximal entropy.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1703.07455

Authors: Gelfert, Katrin, Ruggiero, Rafael O.

Institutions: Universidade Federal do Rio de Janeiro, Pontifícia Universidade Católica do Rio de Janeiro

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico

OpenAlex ID: W2615453054

Cites: 20

Cited by: 2

Related to: 20