Combinatorial Ricci Flows on Surfaces

Details Combinatorial Ricci Flows on Surfaces Combinatorial Ricci Flows on Surfaces

2002-11-17

arxiv.org/abs/math/0211256v1

Mathematics

Differential Geometry

25 pages, no figures

Scientific paper

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.

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