On the deformation of inversive distance circle packings, II
Geometric Topology
2017-07-19 v1 Differential Geometry
Abstract
We show that the results in \cite{Ge-Jiang1} are still true in hyperbolic background geometry setting, that is, the solution to Chow-Luo's combinatorial Ricci flow can always be extended to a solution that exists for all time, furthermore, the extended solution converges exponentially fast if and only if there exists a metric with zero curvature. We also give some results about the range of discrete Gaussian curvatures, which generalize Andreev-Thurston's theorem to some extent.
Keywords
Cite
@article{arxiv.1607.00833,
title = {On the deformation of inversive distance circle packings, II},
author = {Huabin Ge and Wenshuai Jiang},
journal= {arXiv preprint arXiv:1607.00833},
year = {2017}
}
Comments
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