On Variational Properties of Quadratic Curvature Functionals

الأصل · EN

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 with unit volume. We study the stability of these functionals at the metric with constant sectional curvature as its critical point.