3 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
Remarks on compact quasi-Einstein manifolds with boundary
Rafael Diógenes, Tiago Gadelha, Ernani Ribeiro
In this paper, we prove that a compact quasi-Einstein manifold of dimension with boundary nonnegative sectional curvature and zero radial We…
Estimates for Minimal Volume and Minimal Curvature on 4-dimensional compact manifolds
E. Costa, R. Diógenes, E. Ribeiro
In a remarkable article published in 1982, M. Gromov introduced the concept of minimal volume, namely, the minimal volume of a manifold is defined to be the greatest lower bo…