Open Access
January, 2003 Combinatorial Ricci Flows on Surfaces
Bennett Chow, Feng Luo
J. Differential Geom. 63(1): 97-129 (January, 2003). DOI: 10.4310/jdg/1080835659


We show that the analogue 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.


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Bennett Chow. Feng Luo. "Combinatorial Ricci Flows on Surfaces." J. Differential Geom. 63 (1) 97 - 129, January, 2003.


Published: January, 2003
First available in Project Euclid: 1 April 2004

zbMATH: 1070.53040
MathSciNet: MR2015261
Digital Object Identifier: 10.4310/jdg/1080835659

Rights: Copyright © 2003 Lehigh University

Vol.63 • No. 1 • January, 2003
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