有限拓扑型曲面上的圆模式

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2019-09-08 DOI:10.2140/pjm.2020.306.203

Huabin Ge, B. Hua, Ze‐hua Zhou

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引用次数: 8

摘要

摘要:本文研究了有限拓扑型表面上具有钝角外交角的圆图案。我们对曲率图的图像进行了表征，并建立了关于这些模式的Chow-Luo组合Ricci流的长时间行为的几个等效条件。作为结果，得到了圆模式定理的几个推广。此外，我们的方法提出了一种计算方法来寻找所需的圆形图案。

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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Circle patterns on surfaces of finite topological type

Abstract:This paper investigates circle patterns with obtuse exterior intersection angles on surfaces of finite topological type. We characterise the images of the curvature maps and establish several equivalent conditions regarding long time behaviors of Chow-Luo's combinatorial Ricci flows for these patterns. As consequences, several generalizations of circle pattern theorem are obtained. Moreover, our approach suggests a computational method to find the desired circle patterns.

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来源期刊

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.