ON THE LINEAR STABILITY OF KAHLER-RICCI SOLITONS

被引：24
|
作者：
Hall, Stuart J. [1 ]
Murphy, Thomas [2 ]
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England
[2] Univ Coll Cork, Sch Math Sci, Cork, Ireland
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 09期
基金：
英国工程与自然科学研究理事会;
关键词：
Ricci solitons; Perelman's v-functional; linear stability;
D O I：
10.1090/S0002-9939-2011-10948-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that Kahler-Ricci solitons with dim H-(1,H-1)(M) >= 2 are linearly unstable. This extends the results of Cao-Hamilton-Ilmanen in the Kahler-Einstein case.
引用
收藏
页码：3327 / 3337
页数：11
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