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 .
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页码：817 / 897
页数：81
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