4 citations · 7 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
On the volume functional of compact manifolds with boundary with harmonic Weyl tensor
H. Baltazar, R. Batista, K. Bezerra
One of the main aims of this article is to give the complete classification of critical metrics of the volume functional on a compact manifold with boundary and wi…
On the classification of noncompact steady quasi-Einstein manifold with vanishing condition on the Weyl tensor
H. Baltazar, M. Matos Neto
The aim of this paper is to study complete (noncompact) steady -quasi-Einstein manifolds satisfying a fourth-order vanishing condition on the Weyl tensor. In this case, we are a…
On Critical Point Equation of Compact Manifolds with Zero radial Weyl Curvature
H. Baltazar
Let be the space of smooth metrics on a given compact manifold () with constant scalar curvature and unitary volume. The goal of this paper is to…
Critical Metrics of the Volume Functional on Manifolds with Boundary
H. Baltazar, E. Ribeiro
The goal of this article is to study the space of smooth Riemannian structures on compact manifolds with boundary that satisfies a critical point equation associated with a boundar…