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arXiv math/0002150math.DGmath.GT
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理想Thurston-Andreev定理与三角剖分

The ideal Thurston-Andreev theorem and triangulation production

Gregory Leibon

摘要:

本文将亏格大于1的Thurston-Andreev定理推广到凸理想情形。该文件的心脏关注采取正式的角度数据的表面和“保形流动”这个正式的角度数据唯一相关的统一角度数据。这个流量原来是一个目标函数的梯度,以一种相当神奇的方式与双曲体积相关。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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