Scattering rigidity for analytic metrics
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909097853452288 |
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| author | Bonthonneau, Yannick Guedes Guillarmou, Colin Jézéquel, Malo |
| author_facet | Bonthonneau, Yannick Guedes Guillarmou, Colin Jézéquel, Malo |
| contents | For analytic negatively curved Riemannian manifold with analytic strictly convex boundary, we show that the scattering map for the geodesic flow determines the manifold up to isometry. In particular one recovers both the topology and the metric. More generally, our result holds in the analytic category under the no conjugate point and hyperbolic trapped sets assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_02100 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Scattering rigidity for analytic metrics Bonthonneau, Yannick Guedes Guillarmou, Colin Jézéquel, Malo Differential Geometry Analysis of PDEs Dynamical Systems 37D20, 37D40, 35R30 For analytic negatively curved Riemannian manifold with analytic strictly convex boundary, we show that the scattering map for the geodesic flow determines the manifold up to isometry. In particular one recovers both the topology and the metric. More generally, our result holds in the analytic category under the no conjugate point and hyperbolic trapped sets assumptions. |
| title | Scattering rigidity for analytic metrics |
| topic | Differential Geometry Analysis of PDEs Dynamical Systems 37D20, 37D40, 35R30 |
| url | https://arxiv.org/abs/2201.02100 |