9 citations · 19 across the 18 of their papers we have counts for
18 papers
On the structure of almost Yamabe solitons
Seungsu Hwang, Gabjin Yun
In this paper, we study structures of almost Yamabe solitons which are not necessarily gradient. First, we investigate conditions that both compact and noncompact almost Yamabe sol…
Vacuum static spaces and Conformal vector fields
Seungsu Hwang, Gabjin Yun
In this paper, we show that if a compact -dimensional vacuum static space admits a non-trivial closed conformal vector field , then is isometric to a s…
Critical Point Equation on three-dimensional manifolds and the Besse Conjecture
Gabjin Yun, Seungsu Hwang
In this paper, we present the resolution of the Besse conjecture on a three dimensional compact manifold. We also prove the rigidity of the Miao-Tam critical metric on a three dime…
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,…
Closed generalized Einstein manifolds with radially flat Ricci curvature
Seungsu Hwang, Marcio Santos, Gabjin Yun
In this paper, we show that a closed -dimensional generalized -Einstein manifold of constant scalar curvature with weakly radially zero Ricci curvature is isometric to…
Chen's conjecture on biharmonic submanifolds in Riemannian manifolds
Keomkyo Seo, Gabjin Yun
We study biharmonic hypersurfaces and biharmonic submanifolds in a Riemannian manifold. One of interesting problems in this direction is Chen's conjecture which says that any bihar…