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.DG2024
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…
math.DG2023
Geometry of static perfect fluid space-time
Johnatan Costa, Rafael Diógenes, Neilha Pinheiro +1
In this article, we investigate the geometry of static perfect fluid space-time on compact manifolds with boundary. We use the generalized Reilly's formula to establish a geometric…