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Three dimensional m-quasi Einstein manifolds with degenerate Ricci tensor
Jongsu Kim, Jinwoo Shin
In this article we give a classification of three dimensional m-quasi Einstein manifolds with two distinct Ricci-eigen values. Our study provides explicit description of local and…
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}…
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…
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.