STABILITY OF TOTAL SCALAR CURVATURE AND THE CRITICAL POINT EQUATION

被引：0
|
作者：
Hwang, Seungsu [1 ]
Yun, Gabjin [2 ]
机构：
[1] Chung Ang Univ, Dept Math, Seoul 06974, South Korea
[2] Myongji Univ, Dept Math, Yongin 17058, Gyeonggi, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Stability of the curvature functional; the total scalar curvature; Einstein;
D O I：
10.4134/BKMS.b230111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the total scalar curvature functional, and show that if the second variation in the transverse traceless tensor direction is negative, then the metric is Einstein. We also find the relation between the second variation and the Lichnerowicz Laplacian.
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页码：281 / 290
页数：10
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