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math.DG2018★ 3 cited
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.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…