Scattering rigidity for standard stationary manifolds via timelike geodesics
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911341646708736 |
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| author | Muñoz-Thon, Sebastián |
| author_facet | Muñoz-Thon, Sebastián |
| contents | We study the scattering rigidity problem for standard stationary manifolds using timelike geodesics with a fixed momentum. Taking advantage of the symmetry of this manifolds, we use Hamiltonian reduction to show that this problem is related to scattering rigidity for $\mathcal{MP}$-systems, a problem studied before. This gives several new rigidity results (up to some gauge) for this kind of Lorentzian manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09449 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scattering rigidity for standard stationary manifolds via timelike geodesics Muñoz-Thon, Sebastián Differential Geometry 53C24, 53C50, 35R30, 53C22, 53D20, 53D25, 70H33 We study the scattering rigidity problem for standard stationary manifolds using timelike geodesics with a fixed momentum. Taking advantage of the symmetry of this manifolds, we use Hamiltonian reduction to show that this problem is related to scattering rigidity for $\mathcal{MP}$-systems, a problem studied before. This gives several new rigidity results (up to some gauge) for this kind of Lorentzian manifolds. |
| title | Scattering rigidity for standard stationary manifolds via timelike geodesics |
| topic | Differential Geometry 53C24, 53C50, 35R30, 53C22, 53D20, 53D25, 70H33 |
| url | https://arxiv.org/abs/2404.09449 |