1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
Integral and boundary estimates for critical metrics of the volume functional
Rafael Diógenes, Neilha Pinheiro, Ernani Ribeiro
In this article, we investigate the geometry of critical metrics of the volume functional on compact manifolds with boundary. We use the generalized Reilly's formula to derive new…
Geometry of compact quasi-Einstein manifolds with boundary
Rafael Diógenes, Tiago Gadelha, Ernani Ribeiro
In this article, we study the geometry of compact quasi-Einstein manifolds with boundary. We establish sharp boundary estimates for compact quasi-Einstein manifolds with boundary t…
Compact quasi-Einstein manifolds with boundary
Rafael Diógenes, Tiago Gadelha
The goal of this article is to study compact quasi-Einstein manifolds with boundary. We provide boundary estimates for compact quasi-Einstein manifolds simi\-lar to previous result…
Isoperimetric inequality and Weitzenböck type formula for critical metrics of the volume
H. Baltazar, R. Diógenes, E. Ribeiro
We provide an isoperimetric inequality for critical metrics of the volume functional with nonnegative scalar curvature on compact manifolds with boundary. In addition, we establish…