ON THE GLOBAL RIGIDITY OF SPHERE PACKINGS ON 3-DIMENSIONAL MANIFOLDS

被引：0
|
作者：
Xu, Xu [1 ,2 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Wuhan Univ, Hubei Key Lab Computat Sci, Wuhan 430072, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL GEOMETRY | 2020年 / 115卷 / 01期
关键词：
Global rigidity; sphere packing; combinatorial scalar curvature; COMBINATORIAL YAMABE FLOW; SCALAR CURVATURE; PRINCIPLE; SURFACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the global rigidity of sphere packings on 3-dimensional manifolds. This is a 3-dimensional analogue of the rigidity theorem of Andreev-Thurston and was conjectured by Cooper and Rivin in [5]. We also prove a global rigidity result using a combinatorial scalar curvature introduced by Ge and the author in [13].
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页码：175 / 193
页数：19
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