The ideal Thurston-Andreev theorem and triangulation production

Details The ideal Thurston-Andreev theorem and triangulation production The ideal Thurston-Andreev theorem and triangulation production

2000-02-17

arxiv.org/abs/math/0002150v1

Mathematics

Differential Geometry

It may be difficult to print the postscipt version of this document, please use the pdf version. (The pdf version has fuzzy pi

Scientific paper

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.

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