A DISCRETE UNIFORMIZATION THEOREM FOR POLYHEDRAL SURFACES
A DISCRETE UNIFORMIZATION THEOREM FOR POLYHEDRAL SURFACES
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DOI：
10.4310/jdg/1527040872
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发表时间：
2018-06-01
影响因子：
2.5
通讯作者：
Wu, Tianqi
中科院分区：
文献类型：
--
作者：
Gu, Xianfeng David;Luo, Feng;Wu, Tianqi
本文引入了曲面上多面体度量的一种离散共形性。证明了紧致曲面上的每个多面体度量都与一个常曲率多面体度量离散共形，且在缩放意义下是唯一的。此外，可以利用一个有限维变分原理找到常曲率度量。
A discrete conformality for polyhedral metrics on surfaces is introduced in this paper. It is shown that each polyhedral metric on a compact surface is discrete conformal to a constant curvature polyhedral metric which is unique up to scaling. Furthermore, the constant curvature metric can be found using a finite dimensional variational principle.