ON SHRINKING GRADIENT RICCI SOLITONS WITH NONNEGATIVE SECTIONAL CURVATURE

被引：2

作者：

Cai, Mingliang ^{[2
,1
]}

机构：

[1] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2015年 / 277卷 / 01期

关键词：

shrinking gradient Ricci soliton; rigidity; nonnegative sectional curvature; REAL-ANALYTICITY; CLASSIFICATION; MANIFOLDS; OPERATOR; FLOW;

D O I：

10.2140/pjm.2015.277.61

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Perelman proved that an open 3-dimensional shrinking gradient Ricci soliton with bounded nonnegative sectional curvature is a quotient of S-2 x R or R-3. We extend this result to higher dimensions with a decay condition on the Ricci tensor.

引用

页码：61 / 76

页数：16

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