Rigidity of Compact Fuchsian Manifolds with Convex Boundary
A compact Fuchsian manifold with boundary is a hyperbolic 3-manifold homeomorphic to $S_g \times [0; 1]$ such that the boundary component $S_g \times \{ 0\}$ is geodesic. We prove that a compact Fuchsian manifold with convex boundary is uniquely determined by the induced path metric on $S_g \times \...
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| Veröffentlicht in: | International mathematics research notices 2023-02, Vol.2023 (3), p.1959-2094 |
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| container_end_page | 2094 |
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| container_issue | 3 |
| container_start_page | 1959 |
| container_title | International mathematics research notices |
| container_volume | 2023 |
| creator | Prosanov, Roman |
| description | A compact Fuchsian manifold with boundary is a hyperbolic 3-manifold homeomorphic to $S_g \times [0; 1]$ such that the boundary component $S_g \times \{ 0\}$ is geodesic. We prove that a compact Fuchsian manifold with convex boundary is uniquely determined by the induced path metric on $S_g \times \{1\}$. We do not put further restrictions on the boundary except convexity. |
| doi_str_mv | 10.1093/imrn/rnab270 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 1073-7928 |
| ispartof | International mathematics research notices, 2023-02, Vol.2023 (3), p.1959-2094 |
| issn | 1073-7928 1687-0247 |
| language | eng |
| recordid | cdi_crossref_primary_10_1093_imrn_rnab270 |
| source | Oxford University Press Journals All Titles (1996-Current) |
| title | Rigidity of Compact Fuchsian Manifolds with Convex Boundary |
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