Variational principles for circle patterns and Koebe’s theorem-Reference-Cited by-同舟云学术

Variational principles for circle patterns and Koebe’s theorem

Published:2003-09-22 Issue:2 Volume:356 Page:659-689
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bobenko Alexander,Springborn Boris

Abstract

We prove existence and uniqueness results for patterns of circles with prescribed intersection angles on constant curvature surfaces. Our method is based on two new functionals—one for the Euclidean and one for the hyperbolic case. We show how Colin de Verdière’s, Brägger’s and Rivin’s functionals can be derived from ours.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2004-356-02/S0002-9947-03-03239-2/S0002-9947-03-03239-2.pdf

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