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math.DG2016
Besse conjecture with vanishing conditions on the Weyl 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…
math.DG2016
Ridigity of Ricci Solitons with Weakly Harmonic Weyl Tensors
Seungsu Hwang, Gabjin Yun
In this paper, we prove rigidity results on gradient shrinking Ricci solitons with weakly harmonic Weyl curvature tensors. Let be a compact gradient shrinking Ricci soli…