The Mobius invariants for circle packings

被引：0
|
作者：
Lan, Shi-Yi [1 ]
Nong, Li-Juan [2 ]
机构：
[1] Guangxi Univ Nationalities, Coll Sci, Nanning, Peoples R China
[2] Guilin Univ Technol, Coll Sci, Guilin, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2016年 / 61卷 / 10期
关键词：
Triangulation; circle packing; Mobius invariant; 65N10; 65N30; 52C15; 30G62; C-INFINITY-CONVERGENCE; BELTRAMI EQUATIONS;
D O I：
10.1080/17476933.2016.1179291
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Mobius invariants of general circle packings are defined in terms of cross ratios. The necessary and sufficient conditions of existence of circle packings are established by the techniques of Mobius invariants. It is shown that circle packings are uniquely determined, up to Mobius transformations, by their Mobius invariants. The rigidity of infinite circle packings with bounded degree is proved using the approach of Mobius invariants.
引用
收藏
页码：1409 / 1417
页数：9
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