Variational properties of quadratic curvature functionals

被引：0
|
作者：
Weimin Sheng
Lisheng Wang
机构：
[1] Zhejiang University,School of Mathematical Sciences
来源：
Science China Mathematics | 2019年 / 62卷
关键词：
quadratic curvature functional; variational; transverse-traceless; conformal variation; stability; 58E11; 53C24;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1765 / 1778
页数：13
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