Ideal polyhedral surfaces in Fuchsian manifolds
- Prosanov, Roman Université de Fribourg, Switzerland - Moscow Institute of Physics and Technology, Dolgoprudny, Russia - Technische Universität Wien Freihaus, Wien, Austria
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2020
Published in:
- Geometriae Dedicata. - 2020, vol. 206, no. 1, p. 151–179
English
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.
- 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 328455
- DOI 10.1007/s10711-019-00480-y
- Persistent URL
- https://folia.unifr.ch/unifr/documents/308605
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