The ideal Thurston-Andreev theorem and triangulation production
Differential Geometry
2007-06-13 v1 Geometric Topology
Abstract
This paper contains a generalization of the convex ideal case of the Thurston-Andreev theorem when the genus is greater than 1. The heart of the paper concerns taking formal angle data on a surface and ``conformally flowing'' this formal angle data to uniquely associated uniform angle data. This flow turns out to be the gradient of an objective function related in a rather magical way to hyperbolic volume.
Keywords
Cite
@article{arxiv.math/0002150,
title = {The ideal Thurston-Andreev theorem and triangulation production},
author = {Gregory Leibon},
journal= {arXiv preprint arXiv:math/0002150},
year = {2007}
}
Comments
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