Rigidity of anti-de Sitter (2+1)-spacetimes with convex boundary near the Fuchsian locus
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915607831642112 |
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| author | Prosanov, Roman Schlenker, Jean-Marc |
| author_facet | Prosanov, Roman Schlenker, Jean-Marc |
| contents | We prove that globally hyperbolic compact anti-de Sitter (2+1)-spacetimes with strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rigidity of anti-de Sitter (2+1)-spacetimes with convex boundary near the Fuchsian locus Prosanov, Roman Schlenker, Jean-Marc Geometric Topology General Relativity and Quantum Cosmology Differential Geometry Metric Geometry 53C50, 53C45, 53C24, 53C30, 57K35, 52A15 We prove that globally hyperbolic compact anti-de Sitter (2+1)-spacetimes with strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary. |
| title | Rigidity of anti-de Sitter (2+1)-spacetimes with convex boundary near the Fuchsian locus |
| topic | Geometric Topology General Relativity and Quantum Cosmology Differential Geometry Metric Geometry 53C50, 53C45, 53C24, 53C30, 57K35, 52A15 |
| url | https://arxiv.org/abs/2502.01599 |