有限拓扑类型表面上的组合卡拉比流

Pub Date : 2024-03-09 DOI:10.1090/proc/16839

Shengyu Li, Qianghua Luo, Yaping Xu

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引用次数: 0

摘要

本文研究了有限拓扑类型表面上具有钝外交角的圆图案的组合卡拉比流。通过使用 Lyapunov 函数，我们证明了该流在所有时间内都存在，并以指数速度收敛到具有规定可达到曲率的圆图案度量。这提供了一种搜索所需圆模式的算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Combinatorial Calabi flow on surfaces of finite topological type

This paper studies the combinatorial Calabi flow for circle patterns with obtuse exterior intersection angles on surfaces of finite topological type. By using a Lyapunov function, we show that the flow exists for all time and converges exponentially fast to a circle pattern metric with prescribed attainable curvatures. This provides an algorithm to search for the desired circle patterns.

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