Marked length spectrum rigidity for Anosov surfaces
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916383949848576 |
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| author | Guillarmou, Colin Lefeuvre, Thibault Paternain, Gabriel P. |
| author_facet | Guillarmou, Colin Lefeuvre, Thibault Paternain, Gabriel P. |
| contents | Let $Σ$ be a smooth closed oriented surface of genus $\geq 2$. We prove that two metrics on $Σ$ with the same marked length spectrum and Anosov geodesic flow are isometric via an isometry isotopic to the identity. The proof combines microlocal tools with the geometry of complex curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12007 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Marked length spectrum rigidity for Anosov surfaces Guillarmou, Colin Lefeuvre, Thibault Paternain, Gabriel P. Differential Geometry Dynamical Systems 53C24, 53C22, 37C27, 37D40, 57K20, 32G20 Let $Σ$ be a smooth closed oriented surface of genus $\geq 2$. We prove that two metrics on $Σ$ with the same marked length spectrum and Anosov geodesic flow are isometric via an isometry isotopic to the identity. The proof combines microlocal tools with the geometry of complex curves. |
| title | Marked length spectrum rigidity for Anosov surfaces |
| topic | Differential Geometry Dynamical Systems 53C24, 53C22, 37C27, 37D40, 57K20, 32G20 |
| url | https://arxiv.org/abs/2303.12007 |