Combinatorial Yamabe flow on hyperbolic surfaces with boundary
Geometric Topology
2011-11-04 v1 Differential Geometry
Abstract
This paper studies the combinatorial Yamabe flow on hyperbolic surfaces with boundary. It is proved by applying a variational principle that the length of boundary components is uniquely determined by the combinatorial conformal factor. The combinatorial Yamabe flow is a gradient flow of a concave function. The long time behavior of the flow and the geometric meaning is investigated.
Keywords
Cite
@article{arxiv.1003.3910,
title = {Combinatorial Yamabe flow on hyperbolic surfaces with boundary},
author = {Ren Guo},
journal= {arXiv preprint arXiv:1003.3910},
year = {2011}
}
Comments
10 pages