Convergence of combinatorial Ricci flows to degenerate circle patterns
Differential Geometry
2018-08-21 v2 Geometric Topology
Abstract
We investigate the combinatorial Ricci flow on a surface of nonpositive Euler characteristic when the necessary and sufficient condition for the convergence of the combinatorial Ricci flow is not valid. This observation addresses one of questions raised by B. Chow and F. Luo.
Cite
@article{arxiv.1806.05812,
title = {Convergence of combinatorial Ricci flows to degenerate circle patterns},
author = {Asuka Takatsu},
journal= {arXiv preprint arXiv:1806.05812},
year = {2018}
}