Geometry of Ricci solitons

被引：79
作者：
Cao, Huai-Dong [1 ]
机构：
[1] Lehigh Univ, Dept Math, Bethlehem, PA 18015 USA
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2006年 / 27卷 / 02期
基金：
美国国家科学基金会;
关键词：
Ricci soliton; singularity of Ricci flow; stability; Gaussian density;
D O I：
10.1007/s11401-005-0379-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Ricci solitons are natural generalizations of Einstein metrics on one hand, and are special solutions of the Ricci flow of Hamilton on the other hand. In this paper we survey some of the recent developments on Ricci solitons and the role they play in the singularity study of the Ricci flow.
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收藏
页码：121 / 142
页数：22
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