Combinatorial Yamabe flow on hyperbolic bordered surfaces
Differential Geometry
2022-04-19 v1 Geometric Topology
Abstract
This paper studies the combinatorial Yamabe flow on hyperbolic bordered surfaces. We show that the flow exists for all time and converges exponentially fast to conformal factor which produces a hyperbolic surface whose lengths of boundary components are equal to prescribed positive numbers. This provides an algorithm to such problems.
Cite
@article{arxiv.2204.08191,
title = {Combinatorial Yamabe flow on hyperbolic bordered surfaces},
author = {Shengyu Li and Xu Xu and Ze Zhou},
journal= {arXiv preprint arXiv:2204.08191},
year = {2022}
}