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.

引用

页码：815 / 821

页数：7

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