ON THE LINEAR STABILITY OF KAHLER-RICCI SOLITONS

被引：26

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

页码：3327 / 3337

页数：11

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