Schwarz's lemma for the circle packings with the general combinatorics

被引：3

作者：

Huang XiaoJun ^{[1
]}

Liu JinSong ^{[2
]}

Shen Liang ^{[2
]}

机构：

[1] Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China

[2] Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 02期

关键词：

circle packing; discrete extremal length; the maximum principle; hyperbolic geometry; CONVERGENCE;

D O I：

10.1007/s11425-009-0125-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Rodin (1987) proved the Schwarz's lemma analog for the circle packings based on the hexagonal combinatorics. In this paper, we prove the Schwarz's lemma for the circle packings with the general combinatorics and our proof is more simpler than Rodin's proof. At the same time, we obtain a rigidity property for those packings with the general combinatorics.

引用

页码：275 / 288

页数：14

共 15 条

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