Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222551 | Nonlinear Analysis: Theory, Methods & Applications | 2018 | 12 Pages |
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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Authors
Bingqing Ma, Guangyue Huang, Xingxiao Li, Yu Chen,