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arXiv · 1802.04454

Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds

Bingqing Ma·Guangyue Huang·Xingxiao Li·Yu Chen
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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.

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Bingqing Ma, Guangyue Huang, Xingxiao Li, Yu Chen. 2018-02-13. Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds. https://arxiv.org/abs/1802.04454

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