THE SIZE OF ISOPERIMETRIC SURFACES IN 3-MANIFOLDS AND A RIGIDITY RESULT FOR THE UPPER HEMISPHERE

被引：12

作者：

Eichmair, Michael ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 08期

关键词：

SCALAR CURVATURE RIGIDITY; MASS; POSITIVITY;

D O I：

10.1090/S0002-9939-09-09789-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the standard S-3 as the closed Ricci-positive 3-manifold with scalar curvature at least 6 having isoperimetric surfaces of largest area: 4 pi. As a corollary we answer in the affirmative an interesting special case of a conjecture of M. Min-Oo's on the scalar curvature rigidity of the upper hemisphere.

引用

页码：2733 / 2740

页数：8

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