38 citations · 48 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
Volume functional of compact -manifolds with a prescribed boundary metric
H. Baltazar, R. Diógenes, E. Ribeiro
We prove that a critical metric of the volume functional on a -dimensional compact manifold with boundary satisfying a second-order vanishing condition on the Weyl tensor must b…
Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary
H. Baltazar, E. Ribeiro
We provide a general Böchner type formula which enables us to prove some rigidity results for -static spaces. In particular, we show that an -dimensional positive static trip…