On Variational Properties of Quadratic Curvature Functionals
Sheng, Weimin · Wang, Lisheng
Original · 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.
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