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Convergence rate of the prescribed curvature flow
Pak Tung Ho, Jinwoo Shin
The prescribed scalar curvature flow was introduced to study the problem of prescribing scalar curvature on manifolds. Carlotto, Chodosh and Rubinstein have studied the convergence…
Three-dimensional Ricci-degenerate Riemannian manifolds satisfying geometric equations
Jinwoo Shin
In this paper, we study a three-dimensional Ricci-degenerate Riemannian manifold that admits a smooth nonzero solution to the equation \begin{align} \label{a1a} \nabl…
Three dimensional m-quasi Einstein manifolds with degenerate Ricci tensor
Jongsu Kim, Jinwoo Shin
In this article we give a classification of three dimensional m-quasi Einstein manifolds with two distinct Ricci-eigen values. Our study provides explicit description of local and…
On the classification of 4-dimensional -quasi-Einstein manifolds with harmonic Weyl curvature
Jinwoo Shin
In this paper we study 4-dimensional -quasi-Einstein manifolds with harmonic Weyl curvature when and . W…
Four dimensional static and related critical spaces with harmonic curvature
Jongsu Kim, Jinwoo Shin
In this article we study any 4-dimensional Riemannian manifold with harmonic curvature which admits a smooth nonzero solution to the following equation \begin{eqnarray}…