Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds
Differential Geometry
2018-04-30 v2
Abstract
In this paper, we prove some rigidity results for the Einstein metrics as the critical points of a family of known quadratic curvature functionals on closed manifolds, characterized by some point-wise inequalities. Moreover, we also provide a few rigidity results that involve the Weyl curvature, the trace-less Ricci curvature and the Yamabe invariant, accordingly.
Keywords
Cite
@article{arxiv.1802.04454,
title = {Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds},
author = {Bingqing Ma and Guangyue Huang and Xingxiao Li and Yu Chen},
journal= {arXiv preprint arXiv:1802.04454},
year = {2018}
}
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