3 papers
math.DG2016
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
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…
math.DG2006
A closed symplectic four-manifold has almost Kaehler metrics of negative scalar curvature
Jongsu Kim
We show that every closed symplectic four-dimensional manifold admits compatible almost Kaehler metrics of negative scalar curvature.