Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space

Preprint

23 May 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0005234

Abstract

The main result is that every complete finite area hyperbolic metric on a sphere with punctures can be uniquely realized as the induced metric on the surface of a convex ideal polyhedron in hyperbolic 3-space. A number of other observations are included.

Keywords

INTRINSIC GEOMETRY
IDEAL POLYHEDRA
COMPLETE FINITE
AREA HYPERBOLIC
CONVEX IDEAL
POLYHEDRON
HYPERBOLIC
POLYHEDRA

All Related Versions

Version 1, 2000-05-23, ArXiv

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