5 citations · 11 across the 7 of their papers we have counts for
8 papers
Vacuum static spaces with harmonic curvature
Jongsu Kim
In this article we make a thorough classification of (not necessarily complete) -dimensional vacuum static spaces with harmonic curvature and, as a corollary, obtain a…
Classification of Gradient Ricci solitons with harmonic Weyl curvature
Jongsu Kim
We make classifications of gradient Ricci solitons with harmonic Weyl curvature. As a local classification, we prove that the soliton metric is locally isometric to…
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…
Scalar Curvature Functions of Almost-Kähler Metrics
Jongsu Kim, Chanyoung Sung
For a closed smooth manifold admitting a symplectic structure, we define a smooth topological invariant using almost-Kähler metrics, i.e. Riemannian metrics compatible w…