3 citations · 5 across the 6 of their papers we have counts for
7 papers
Scalar-flat Kähler surfaces whose Weyl tensor annihilates the Ricci form
Andrzej Derdzinski, Sinhwi Kim, JeongHyeong Park
We conjecture that any scalar-flat Kähler surface in which the Weyl tensor acting on 2-forms annihilates the Ricci form must be either Ricci-flat or locally isometric to a Riemanni…
On weakly Einstein Kähler surfaces
Andrzej Derdzinski, Yunhee Euh, Sinhwi Kim +1
Riemannian four-manifolds in which the triple contraction of the curvature tensor against itself yields a functional multiple of the metric are called weakly Einstein. We focus on…
On weakly Einstein Lie groups
Yunhee Euh, Sinhwi Kim, Yuri Nikolayevsky +1
A Riemannian manifold is called \emph{weakly Einstein} if the tensor is a scalar multiple of the metric tensor . We consider weakly Einstein Lie gro…
Two theorems on the intersections of horospheres in asymptotically harmonic spaces
Sinhwi Kim, JeongHyeong Park
We use Busemann functions to construct volume preserving mappings in an asymptotically harmonic manifold. If the asymptotically harmonic manifold satisfies the visibility condition…
Einstein hypersurfaces of Damek-Ricci spaces
Sinhwi Kim, Yuri Nikolayevsky, JeongHyeong Park
Einstein hypersurfaces are ``very rare" in rank-one symmetric spaces. Damek-Ricci spaces may be viewed as the closest and the most natural generalisations of noncompact rank-one sy…
Totally geodesic submanifolds of Damek-Ricci spaces and Einstein hypersurfaces of the Cayley projective plane
Sinhwi Kim, Yuri Nikolayevsky, JeongHyeong Park
We classify totally geodesic submanifolds of Damek-Ricci spaces and show that they are either homogeneous (such submanifolds are known to be "smaller" Damek-Ricci spaces) or isomet…
Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian
Jaigyoung Choe, Sinhwi Kim, JeongHyeong Park
The space forms, the complex hyperbolic spaces and the quaternionic hyperbolic spaces are characterized as the harmonic manifolds with specific radial eigenfunctions of the Laplaci…