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.
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.
基金
supported by National Natural Science Foundation of China(Grant No.11571304)
