Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds
In this paper, we prove Ruelle's inequality for the geodesic flow in non-compact manifolds with Anosov dynamics, under certain curvature assumptions. Additionally, we obtain Pesin's formula for Anosov geodesic flow in non-compact manifolds with finite volume.
Authors
- Sergio Romaña (ORCID: https://orcid.org/0000-0002-3253-0626)
- Alexander Cantoral
Institutions
- Sun Yat-sen University (CN)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems
- Published
- 2025-07-04
- DOI
- https://doi.org/10.3934/dcds.2025104
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
- Universidade Federal do Rio de Janeiro
- Southern University of Science and Technology