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math.DG2022
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…
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,…