3 citations · 5 across the 4 of their papers we have counts for
4 papers
Four-manifolds with positive curvature
R. Diógenes, E. Ribeiro, E. Rufino
In this note we prove that a four-dimensional compact oriented half-confor\-mally flat Riemannian manifold is topologically or pr…
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…
Critical metrics of the volume functional on compact three-manifolds with smooth boundary
R. Batista, R. Diógenes, M. Ranieri +1
We study the space of smooth Riemannian structures on compact three-manifolds with boundary that satisfies a critical point equation associated with a boundary value problem, for s…
Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary
A. Barros, R. Diógenes, E. Ribeiro
The purpose of this article is to investigate Bach-flat critical metrics of the volume functional on a compact manifold with boundary Here, we prove that a Bach-f…