On Variational Properties of Quadratic Curvature Functionals
Differential Geometry
2018-01-09 v1
Abstract
In this paper, we investigate a class of quadratic Riemannian curvature functionals on closed smooth manifold of dimension on the space of Riemannian metrics on with unit volume. We study the stability of these functionals at the metric with constant sectional curvature as its critical point.
Cite
@article{arxiv.1801.02017,
title = {On Variational Properties of Quadratic Curvature Functionals},
author = {Weimin Sheng and Lisheng Wang},
journal= {arXiv preprint arXiv:1801.02017},
year = {2018}
}
Comments
Accepted by SCIENCE CHINA Mathematics. Comments are welcome