双曲背景几何中组合Ricci流向退化圆填料的收敛性

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-03-05 DOI:10.1016/j.jfa.2025.110921

Guangming Hu , Sicheng Lu , Dong Tan , Youliang Zhong , Puchun Zhou

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引用次数: 0

摘要

研究了双曲背景几何中的一类退化圆填料。一个主要问题是是否可以用退化的圆填充来实现规定的总测地线曲率数据。充分刻画了其充要条件和唯一性。此外，我们引入组合Ricci流来寻找所需的退化圆填充表面，类似于Chow-Luo[7]和Takatsu[37]的方法。

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Convergences of combinatorial Ricci flows to degenerated circle packings in hyperbolic background geometry

This paper investigates a kind of degenerated circle packings in hyperbolic background geometry. A main problem is whether a prescribed total geodesic curvature data can be realized by a degenerated circle packing or not. We fully characterize the sufficient and necessary conditions and show the uniqueness. Furthermore, we introduce the combinatorial Ricci flow to find the desired degenerated circle packed surface, analogous to the methods of Chow-Luo [7] and Takatsu [37].

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis