9 citations · 18 across the 21 of their papers we have counts for
21 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…
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…
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…
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…
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…
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…
Gap theorems on critical point equation of the total scalar curvature with divergence-free Bach tensor
Gabjin Yun, Seungsu Hwang
On a compact -dimensional manifold, it is well known that a critical metric of the total scalar curvature, restricted to the space of metrics with unit volume is Einstein. It ha…
Rigidity of the total scalar curvature with divergence-free Bach tensor
Gabjin Yun, Seungsu Hwang
On a compact -dimensional manifold , it is well known that a critical metric of the total scalar curvature, restricted to the space of metrics with unit volume, is Einstein.…
Besse conjecture with vanishing conditions on the Weyl tensor
Gabjin Yun, Seungsu Hwang
On a compact -dimensional manifold, it is well known that a critical metric of the total scalar curvature, restricted to the space of metrics with unit volume is Einstein. It ha…
Ridigity of Ricci Solitons with Weakly Harmonic Weyl Tensors
Seungsu Hwang, Gabjin Yun
In this paper, we prove rigidity results on gradient shrinking Ricci solitons with weakly harmonic Weyl curvature tensors. Let be a compact gradient shrinking Ricci soli…
Bach-flat h-almost gradient Ricci solitons
Gabjin Yun, Jinseok Co, Seungsu Hwang
On an -dimensional complete manifold , consider an -almost gradient Ricci soliton, which is a generalization of a gradient Ricci soliton. We prove that if the manifold is…
Variational characterizations of the total scalar curvature and eigenvalues of the Laplacian
Seungsu Hwang, Jeongwook Chang, Gabjin Yun
For the dual operator of the linearization of the scalar curvature function, it is well-known that if , then is a non-negative constant. In…
Total Scalar Curvature and Harmonic Curvature
Gabjin Yun, Jeongwook Chang, Seungsu Hwang
On a compact n-dimensional manifold, it has been conjectured that a critical point metric of the total scalar curvature, restricted to the space of metrics with constant scalar cur…
Quark Lepton Similarity
Seungsu Hwang, Kim Siyeon
We propose the lepton mixing matrix at high energy scale to be connected to quark mixing matrix by the similar transformation. The similarity between CKM and PMNS significantly nar…
A complex-angle rotation and geometric complementarity in fermion mixing
Kee-Hwan Nam, Kim Siyeon, Seungsu Hwang
The mixing among flavors in quarks or leptons in terms of a single rotation angle is defined such that three flavor eigenvectors are transformed into three mass eigenvectors by a s…