4 papers
Rigidity of compact quasi-Einstein manifolds with boundary
Johnatan Costa, Ernani Ribeiro, Detang Zhou
In this article, we investigate the geometry of compact quasi-Einstein manifolds with boundary. We show that a -dimensional simply connected compact quasi-Einstein manifold with…
Critical metrics of the volume functional on complete manifolds
Caio Coimbra, Rafael Diógenes, Ernani Ribeiro
In this article, we investigate critical metrics of the volume functional on complete manifolds without boundary. We prove that any critical metric of the volume functional on a co…
Geometric inequalities for quasi-Einstein manifolds
Rafael Diógenes, Jaciane Gonçalves, Ernani Ribeiro
In this article, we investigate certain geometric inequalities on quasi-Einstein manifolds. We use the generalized Reilly's formulas by Qiu-Xia and Li-Xia to establish new boundary…
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…