2 citations · 4 across the 6 of their papers we have counts for
9 papers
On the geometry of Einstein-type manifolds with some structural conditions
Gabjin Yun, Seungsu Hwang
In this paper, we investigate the geometry of Einstein-type equation on a Riemannian manifold, unifying various particular geometric structures recently studied in the literature,…
V-static spaces with positive isotropic curvature
Gabjin Yun, Seungsu Hwang
In this paper, we give a complete classification of critical metrics of the volume functional on a compact manifold with boundary having positive isotropic curvatu…
Besse conjecture with positive isotropic curvature
Seungsu Hwang, Gabjin Yun
The critical point equation arises as a critical point of the total scalar curvature functional defined on the space of constant scalar curvature metrics of a unit volume on a comp…
Integral Curvature Bounds and Bounded Diameter with Bakry--Emery Ricci Tensor
Seungsu Hwang, Sanghun Lee
For Riemannian manifolds with a smooth measure , we prove a generalized Myers compactness theorem when Bakry--Emery Ricci tensor is bounded from below and …
Myers-type compactness theorem with the Bakry-Emery Ricci tensor
Seungsu Hwang, Sanghun Lee
In this paper, we first prove the -mean curvature comparison in a smooth metric measure space when the Bakry-Emery Ricci tensor is bounded from below and is bounded. Based…
Vacuum static spaces with vanishing of complete divergence of Bach tensor and Weyl tensor
Seungsu Hwang, Gabjin Yun
In this paper, we study vacuum static spaces with the complete divergence of the Bach tensor and Weyl tensor. First, we prove that the vanishing of complete divergence of the Bach…