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
1. Verfasser: Prosanov, Roman
Format: Artikel
Sprache:eng
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