R. Diógenes

collaborators

Showing math.DGShow all

2 papers · 1 filter

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 $M^{4}$ is topologically $S^{4}$ or $C P^{2},$ 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…