Some rigidity characterizations of Einstein metrics as critical points for quadratic curvature functionals
Differential Geometry
2018-08-16 v2
Abstract
We study rigidity results for the Einstein metrics as the critical points of a family of known quadratic curvature functionals involving the scalar curvature, the Ricci curvature and the Riemannian curvature tensor, characterized by some pointwise inequalities involving the Weyl curvature and the traceless Ricci curvature. Moreover, we also provide a few rigidity results for locally conformally flat critical metrics.
Cite
@article{arxiv.1808.04644,
title = {Some rigidity characterizations of Einstein metrics as critical points for quadratic curvature functionals},
author = {Bingqing Ma and Guangyue Huang and Jie Yang},
journal= {arXiv preprint arXiv:1808.04644},
year = {2018}
}
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