Combinatorial Ricci Flows on Surfaces
微分几何
2007-05-23 v1 几何拓扑
摘要
We show that the analog of Hamilton's Ricci flow in the combinatorial setting produces solutions which converge exponentially fast to Thurston's circle packing on surfaces. As a consequence, a new proof of Thurston's existence of circle packing theorem is obtained. As another consequence, Ricci flow suggests a new algorithm to find circle packings.
引用
@article{arxiv.math/0211256,
title = {Combinatorial Ricci Flows on Surfaces},
author = {Bennett Chow and Feng Luo},
journal= {arXiv preprint arXiv:math/0211256},
year = {2007}
}
备注
25 pages, no figures