3 papers
math.DG2025
On quasi-Einstein manifolds with constant scalar curvature
Johnatan Costa, Ernani Ribeiro, Márcio Santos
In this article, we study quasi-Einstein manifolds with constant scalar curvature. We provide a classification of compact and noncompact (possibly with boundary) -flat quasi-Ein…
math.DG2023
A note on Serrin's type problem on Riemannian manifolds
Allan Freitas, Alberto Roncoroni, Márcio Santos
In this paper, we deal with Serrin-type problems in Riemannian manifolds. First, we obtain a Heintze-Karcher inequality and a Soap Bubble result, with its respective rigidity, when…
math.DG2021
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…