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arXiv · 1801.02017

On Variational Properties of Quadratic Curvature Functionals

Weimin Sheng·Lisheng Wang
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Abstract

In this paper, we investigate a class of quadratic Riemannian curvature functionals on closed smooth manifold $M$ of dimension $n\ge 3$ 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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Weimin Sheng, Lisheng Wang. 2018-01-06. On Variational Properties of Quadratic Curvature Functionals. https://arxiv.org/abs/1801.02017

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