38 citations · 48 across the 12 of their papers we have counts for
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math.DG2018
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…
math.DG2018★ 1 cited
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…
math.DG2018
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…