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].

引用

页码：175 / 193

页数：19

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