Title: Ideal polyhedral surfaces in Fuchsian manifolds
Language: English
Authors: Prosanov, Roman 
Category: Research Article
Forschungsartikel
Issue Date: 2019
Journal: Geometriae Dedicata
ISSN: 1572-9168
Abstract: 
Let Sg,n be a surface of genus g>1 with n>0 punctures equipped with a complete hyperbolic cusp metric. Then it can be uniquely realized as the boundary metric of an ideal Fuchsian polyhedron. In the present paper we give a new variational proof of this result. We also give an alternative proof of the existence and uniqueness of a hyperbolic polyhedral metric with prescribed curvature in a given conformal class.
Keywords: Discrete curvature; Alexandrov theorem; Discrete conformality; Discrete uniformization
DOI: 10.1007/s10711-019-00480-y
Library ID: AC15534585
URN: urn:nbn:at:at-ubtuw:3-7889
Organisation: E104 - Institut für Diskrete Mathematik und Geometrie 
Publication Type: Article
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