Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913492062175232 |
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| author | Cantoral, Alexander Romaña, Sergio |
| author_facet | Cantoral, Alexander Romaña, Sergio |
| contents | In this paper, we prove Ruelle's inequality for the geodesic flow in non-compact manifolds with Anosov geodesic flow and some assumptions on the curvature. In the same way, we obtain Pesin's formula for Anosov geodesic flow in non-compact manifolds with finite volume. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03207 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds Cantoral, Alexander Romaña, Sergio Dynamical Systems In this paper, we prove Ruelle's inequality for the geodesic flow in non-compact manifolds with Anosov geodesic flow and some assumptions on the curvature. In the same way, we obtain Pesin's formula for Anosov geodesic flow in non-compact manifolds with finite volume. |
| title | Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2409.03207 |