Combinatorial Ricci Flows on Surfaces

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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.
25 pages, no figures

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Differential Geometry, Geometric Topology, 53C44; 52C26

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http://salesiana.dossiersoluciones.com/handle/123456789/65683

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211256
 http://arxiv.org/abs/math/0211256

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arXiv