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A note on circle patterns on surfaces
Authors:Ren Guo
Institution:(1) Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA
Abstract:In this paper we give two different proofs of Bobenko and Springborn’s theorem of circle pattern: there exists a hyperbolic (or Euclidean) circle pattern with proscribed intersection angles and cone angles on a cellular decomposed surface up to isometry (or similarity). This work is partially supported by NSF Grant #0625935.
Keywords:Circle pattern  Continuity method  Variational principle
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