NON-NEGATIVE RICCI CURVATURE ON CLOSED MANIFOLDS UNDER RICCI FLOW

被引：6

作者：

Maximo, Davi ^{[1
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 02期

基金：

美国国家科学基金会;

关键词：

Closed; 4-manifolds; Kahler manifolds; Ricci curvature; Ricci flow; Kahler-Ricci flow; invariant curvature conditions; COMPACT KAHLER-MANIFOLDS; BISECTIONAL CURVATURE; SPACE-FORMS; UNIFORMIZATION; 3-MANIFOLDS; SURFACES; OPERATOR; METRICS;

D O I：

10.1090/S0002-9939-2010-10537-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short paper we show that non-negative Ricci curvature is not preserved under Ricci flow for closed manifolds of dimensions four and above, strengthening a previous result of Knopf for complete non-compact manifolds of hounded curvature. This brings clown to four dimensions a similar result Balm and Wilking have for dimensions twelve and above. Moreover, the manifolds constructed here are Kahler manifolds and relate to a question raised by Xiuxiong Chen.

引用

页码：675 / 685

页数：11

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