Fillastre, François 2008-04-18 Let S be a topologically finite surface, and g be a hyperbolic metric on S with a finite number of conical singularities of positive singular curvature, cusps and complete ends of infinite area. We prove that there exists a convex polyhedral surface P in hyperbolic space ℍ³ and a group G of isometries of ℍ³ such that the induced metric on the quotient P/G is isometric to g. Moreover, the pair (P, G) is unique among a particular class of convex polyhedra application/pdf https://folia.unifr.ch/global/documents/300896 https://folia.unifr.ch/documents/300896/files/10711_2008_Article_9252.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s10711-008-9252-2 info:eu-repo/semantics/openAccess License undefined Geometriae Dedicata. - 2008, vol. 134, no. 1, p. 177-196 Hyperbolic generalized polyhedra Equivariant polyhedral realization Complete hyperbolic metrics Alexandrov Theorem Hyperbolic de Sitter space info:eu-repo/classification/udc/51 Polyhedral hyperbolic metrics on surfaces http://purl.org/coar/resource_type/c_6501