OPTIMAL DIAMETER ESTIMATE OF THREE-DIMENSIONAL RICCI LIMIT SPACES

被引：3
|
作者：
Zhu, Bo [1 ]
Zhu, Xingyu [2 ]
机构：
[1] Texas A&M Univ, Dept Math, Blocker Bldg,3368 TAMU,155 Ireland St, College Stn, TX 77840 USA
[2] Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 02期
关键词：
Positive scalar curvature; Ricci limit spaces; optimal diameter esti-mate; Ricci flow; CURVATURE; MANIFOLDS; RIGIDITY; FLOW;
D O I：
10.1090/proc/16529
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we prove that positive scalar curvature can pass to three dimensional Ricci limit spaces of non-negative Ricci curvature when it splits off a line. As a corollary, we obtain an optimal Bonnet-Myers type upper bound. Moreover, we obtain a similar statement in all dimensions for Alexandrov spaces of non-negative curvature.
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页码：815 / 821
页数：7
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