2 citations · 5 across the 12 of their papers we have counts for
13 papers
Weakly Einstein and weakly -Einstein structures on almost contact metric three-manifolds
Sun Hyang Chun, Yunhee Euh
We study weakly Einstein and weakly -Einstein structures on almost contact metric three-manifolds. We first obtain a pointwise structural description of the Ricci operator o…
Critical metrics for the quadratic curvature functional on complete four-dimensional manifolds
Yunhee Euh, JeongHyeong Park
We study critical metrics of the curvature functional $\A(g)=\int_M |R|^2\, \vol$, on complete four-dimensional Riemannian manifolds with finite energy, that is, $\A(g)<\in…
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…
Curvature identities for Einstein manifolds of dimension 5 and 6
Yunhee Euh, Jihun Kim, JeongHyeong Park
Patterson discussed the curvature identities on Riemannian manifolds in [14], and a curvature identity for any 6-dimensional Riemannian manifold was independently derived from the…
On 2-stein submanifolds in space forms
Yunhee Euh, Jihun Kim, Yuri Nikolayevsky +1
We prove that a 2-stein submanifold in a space form whose normal connection is flat or whose codimension is at most 2, has constant curvature.