RIGIDITY OF THE ROUND CYLINDERS IN RICCI SHRINKERS

被引：0

作者：

Li, Yu ^{[1
,2
]}

Wang, Bing ^{[2
,3
,4
]}

机构：

[1] Univ Sci & Technol China, Inst Geometry & Phys, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China

[2] Hefei Natl Lab, 5099 West Wangjiang Rd, Hefei 230088, Anhui, Peoples R China

[3] Univ Sci & Technol China, Inst Geometry & Phys, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China

[4] Univ Sci & Technol China, Sch Math Sci, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2024年 / 127卷 / 02期

关键词：

PERELMANS REDUCED VOLUME; LOCAL DIRICHLET SPACES; ANCIENT SOLUTIONS; INFINITESIMAL DEFORMABILITY; GAP THEOREM; SOLITONS; FLOW; CLASSIFICATION; SINGULARITIES; UNIQUENESS;

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 that the round cylinders are rigid in the space of Ricci shrinkers. Namely, any Ricci shrinker that is sufficiently close to S (n - 1) x R in the pointed-Gromov-Hausdorff topology must itself be isometric to S n - 1 x R .

引用

页码：817 / 897

页数：81

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