A note on circle patterns on surfaces

Details A note on circle patterns on surfaces A note on circle patterns on surfaces

2007-03-07

arxiv.org/abs/math/0703183v1

Geom. Dedicata 125 (2007), 175--190

Mathematics

Geometric Topology

16 pages, 2 figures

Scientific paper

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).

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