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math.DG2018
Vacuum static spaces with vanishing of complete divergence of Bach tensor and Weyl tensor
Seungsu Hwang, Gabjin Yun
In this paper, we study vacuum static spaces with the complete divergence of the Bach tensor and Weyl tensor. First, we prove that the vanishing of complete divergence of the Bach…
math.DG2018
Gap theorems on critical point equation of the total scalar curvature with divergence-free Bach tensor
Gabjin Yun, Seungsu Hwang
On a compact -dimensional manifold, it is well known that a critical metric of the total scalar curvature, restricted to the space of metrics with unit volume is Einstein. It ha…