Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces

DOI10.5802/aif.2255zbMath1123.53033arXivmath/0605403OpenAlexW2950575385WikidataQ125785950 ScholiaQ125785950MaRDI QIDQ2372792

François Fillastre

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605403

zbMATH Keywords

polyhedronhyperbolicconvexinfinitesimalconical singularitiesFuchsian

Mathematics Subject Classification ID

Rigidity results (53C24) Spherical and hyperbolic convexity (52A55) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Polyhedral manifolds (52B70)

Related Items

Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces ⋮ Hyperbolization of cusps with convex boundary ⋮ Compact domains with prescribed convex boundary metrics in quasi-Fuchsian manifolds ⋮ Ideal polyhedral surfaces in Fuchsian manifolds ⋮ Boundary metric of Epstein-Penner convex hull and discrete conformality ⋮ Flippable tilings of constant curvature surfaces ⋮ Polyhedral hyperbolic metrics on surfaces ⋮ Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes ⋮ Fuchsian polyhedra in Lorentzian space-forms ⋮ Hyperbolic cusps with convex polyhedral boundary ⋮ A variational proof of Alexandrov's convex cap theorem ⋮ Gauss images of hyperbolic cusps with convex polyhedral boundary ⋮ Weakly inscribed polyhedra

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