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arXiv · 2204.08191

Combinatorial Yamabe flow on hyperbolic bordered surfaces

Shengyu Li·Xu Xu·Ze Zhou
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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.

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Shengyu Li, Xu Xu, Ze Zhou. 2022-04-18. Combinatorial Yamabe flow on hyperbolic bordered surfaces. https://arxiv.org/abs/2204.08191

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