English

A note on circle patterns on surfaces

Geometric Topology 2008-02-28 v1

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).

Keywords

Cite

@article{arxiv.math/0703183,
  title  = {A note on circle patterns on surfaces},
  author = {Ren Guo},
  journal= {arXiv preprint arXiv:math/0703183},
  year   = {2008}
}

Comments

16 pages, 2 figures