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20162025
most citedRigidity of the total scalar curvature with divergence-free Bach tensor

2 citations · 4 across the 9 of their papers we have counts for

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12 papers · 1 filter

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.DG2024

Transverse Ricci solitons on a compact foliated manifold

Seungsu Hwang, Seoung Dal Jung, Jungwoo Moon

We investigate transverse Ricci solitons, the self-similar solutions of the transverse Ricci flow, on a compact foliated manifold. In particular, we show the relations between a ta…

math.DG2023

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…

math.DG2022

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,…

math.DG20211 cited

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…

math.DG20211 cited

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…