2 papers
math.DG2018
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…
math.DG2016
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…