Polyhedral hyperbolic metrics on surfaces
- Fillastre, François Department of Mathematics, University of Fribourg, Switzerland
-
18.04.2008
Published in:
- 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
English
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
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 11307
- DOI 10.1007/s10711-008-9252-2
- Persistent URL
- https://folia.unifr.ch/unifr/documents/300896
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