On the Characterization of Polyhedra in Hyperbolic 3-Space - Mathematics > Metric GeometryReport as inadecuate




On the Characterization of Polyhedra in Hyperbolic 3-Space - Mathematics > Metric Geometry - Download this document for free, or read online. Document in PDF available to download.

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.



Author: Javier Virto

Source: https://arxiv.org/



DOWNLOAD PDF




Related documents