Variational properties of quadratic curvature functionals

被引：2
|
作者：
Sheng, Weimin [1 ]
Wang, Lisheng [1 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2019年 / 62卷 / 09期
基金：
中国国家自然科学基金;
关键词：
quadratic curvature functional; variational; transverse-traceless; conformal variation; stability;
D O I：
10.1007/s11425-017-9232-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a class of quadratic Riemannian curvature functionals on closed smooth manifold M of dimension n > 3 on the space of Riemannian metrics on M consisting of metrics with unit volume. We study the stability of these functionals at the metric with constant sectional curvature as its critical point.
引用
收藏
页码：1765 / 1778
页数：14
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