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Abstract: We review several results related to the characterization of polyhedra inhyperbolic 3-space. In particular we present Rivin-s theorem that gives acharacterization of compact convex hyperbolic polyhedra, and Hodgson-s proof ofthe Adreev-s theorem. We also review the analogous characterization of idealpolyhedra, and give a family of counter-examples that proves that hyperbolicpolyhedra are not determined by edge lengths.



Autor: Javier Virto

Fuente: https://arxiv.org/







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