Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913492062175232 |
|---|---|
| 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 |