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math.DG2016★ 5 cited
Four dimensional static and related critical spaces with harmonic curvature
Jongsu Kim, Jinwoo Shin
In this article we study any 4-dimensional Riemannian manifold with harmonic curvature which admits a smooth nonzero solution to the following equation \begin{eqnarray}…
math.DG2016★ 3 cited
On a classification of 4-d gradient Ricci solitons with harmonic Weyl curvature
Jongsu Kim
We study a characterization of 4-dimensional (not necessarily complete) gradient Ricci solitons which have harmonic Weyl curvature, i.e. . Roughly speaking, we pr…