38 citations · 48 across the 12 of their papers we have counts for
12 papers
Compact Einstein-type manifolds with parallel Ricci tensor
Maria Andrade, Halyson Baltazar, Christopher Queiroz
In this paper, we deduce a Bochner-type identity for compact gradient Einstein-type manifolds with boundary. As consequence, we are able to show a rigidity result for Einstein-type…
A local rigidity theorem for minimal two-spheres in an electrovacuum spacetime
Halyson Baltazar, Abdênago Barros, Rondinelle Batista
The purpose of this article is to prove that, under suitable constrains on the electrovacuum spacetime , if is an embedded strictly stable minimal two-sphere which…
Critical metrics of the volume functional with pinched curvature
Halyson Baltazar, Christopher Queiroz
In this paper, we prove that a critical metric of the volume functional with pinched Weyl curvature is isometric to a geodesic ball in Moreover, we provide a nece…
Geometric inequalities for critical metrics of the volume functional
H. Baltazar, R. Batista, E. Ribeiro
In this article, we investigate the geometry of critical metrics of the volume functional on an -dimensional compact manifold with (possibly disconnected) boundary. We establish…
Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary
H. Baltazar, A. Da Silva, F. Oliveira
The goal of this paper is to study weakly Einstein critical metrics of the volume functional on a compact manifold with smooth boundary . Here, we will give the com…
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…