THREE DIMENSIONAL CRITICAL POINT OF THE TOTAL SCALAR CURVATURE

被引：6
|
作者：
Hwang, Seungsu [1 ]
机构：
[1] Chung Ang Univ, Dept Math, Seoul 156756, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
total scalar curvature; critical point metric; Einstein metric; METRICS;
D O I：
10.4134/BKMS.2013.50.3.867
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It has been conjectured that, on a compact 3-dimensional orientable manifold, a critical point of the total scalar curvature restricted to the space of constant scalar curvature metrics of unit volume is Einstein. In this paper we prove this conjecture under a condition that ker s(g)'* not equal 0, which generalizes the previous partial results.
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页码：867 / 871
页数：5
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