Locally homogeneous critical metrics on four-dimensional manifolds

被引：2

作者：

Kang, Yutae ^{[1
]}

机构：

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 44卷 / 01期

关键词：

locally homogeneous metric; critical metric; L-2-norm curvature functional;

D O I：

10.4134/JKMS.2007.44.1.109

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify complete, locally homogeneous metrics with finite volume on four-dimensional manifolds which are critical points for the squared L-2-norm functionals of either the full Riemannian curvature tensor or the Weyl curvature tensor defined on the space of Riemannian metrics.

引用

页码：109 / 127

页数：19

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