Combinatorial Ricci Flows on Surfaces

Chow, Bennett; Luo, Feng

Chow, Bennett ; Luo, Feng

J. Differential Geom., Tome 63 (2003) no. 1, p. 97-129 / Harvested from Project Euclid

Résumé

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.

Publié le : 2003-01-14
Classification:

@article{1080835659,
     author = {Chow, Bennett and Luo, Feng},
     title = {Combinatorial Ricci Flows on Surfaces},
     journal = {J. Differential Geom.},
     volume = {63},
     number = {1},
     year = {2003},
     pages = { 97-129},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1080835659}
}

Chow, Bennett; Luo, Feng. Combinatorial Ricci Flows on Surfaces. J. Differential Geom., Tome 63 (2003) no. 1, pp.  97-129. http://gdmltest.u-ga.fr/item/1080835659/