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On the Characterization of Polyhedra in Hyperbolic 3-Space by Virto, Javier is a scholarly article available to read on EtoBox.

What is On the Characterization of Polyhedra in Hyperbolic 3-Space about?

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

Author

Virto, Javier

Published

2010

Language

EN