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

页码：1765 / 1778

页数：14

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