Showing math.DGShow all
3 papers · 1 filter
math.DG2025
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…
math.DG2025
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…
math.DG2024
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…