3 papers
math.DG2025
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…
math.DG2025
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 t…
math.DG2025
Vacuum Static Spaces with Positive Isotropic Curvature
Seungsu Hwang, Gabjin Yun
In this paper, we study vacuum static spaces with positive isotropic curvature. We prove that if , , is a compact vacuum static space with positive isotropic…