A note on critical point metrics of the total scalar curvature functional

被引：23
|
作者：
Neto, Benedito Leandro [1 ]
机构：
[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 424卷 / 02期
关键词：
Total scalar curvature functional; Critical point equation; Einstein metric; EQUATION;
D O I：
10.1016/j.jmaa.2014.11.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this note is to investigate the critical points of the total scalar curvature functional restricted to the space of metrics with constant scalar curvature of unitary volume, for simplicity CPE metrics. In this note, we give a necessary and sufficient condition on the norm of the gradient of the potential function for a CPE metric to be Einstein. (C) 2014 Published by Elsevier Inc.
引用
收藏
页码：1544 / 1548
页数：5
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