Polyhedral hyperbolic metrics on surfaces

DOI10.1007/s10711-008-9252-2zbMath1153.57012arXiv0801.0538OpenAlexW4205986227MaRDI QIDQ930535

François Fillastre

Publication date: 30 June 2008

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0538

zbMATH Keywords

Alexandrov TheoremComplete hyperbolic metricsEquivariant polyhedral realizationHyperbolic generalized polyhedraHyperbolic-de Sitter space

Mathematics Subject Classification ID

Related Items (9)

Irreducible metric maps and Weil-Petersson volumes ⋮ Ideal polyhedral surfaces in Fuchsian manifolds ⋮ Ideal hyperbolic polyhedra and discrete uniformization ⋮ Boundary metric of Epstein-Penner convex hull and discrete conformality ⋮ The Riemann Mapping Theorem and Its Discrete Counterparts ⋮ Fuchsian polyhedra in Lorentzian space-forms ⋮ Hyperbolic cusps with convex polyhedral boundary ⋮ Projective background of the infinitesimal rigidity of frameworks ⋮ Canonical tessellations of decorated hyperbolic surfaces

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