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6 papers · 2 filters
The mass in terms of Einstein and Newton
Levi Lopes de Lima, Frederico Girão, Amilcar Montalbán
It is shown that the mass of an asymptotically flat manifold with a noncompact boundary can be computed in terms of limiting surface integrals involving the Einstein tensor of the…
Geometric inequalities for critical metrics of the volume functional
H. Baltazar, R. Batista, E. Ribeiro
In this article, we investigate the geometry of critical metrics of the volume functional on an -dimensional compact manifold with (possibly disconnected) boundary. We establish…
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…
Jenkins-Serrin graphs in
Eddygledson S. Gama, Esko Heinonen, Jorge H. de Lira +1
The so called Jenkins-Serrin problem is a kind of Dirichlet problem for graphs with prescribed mean curvature that combines, at the same time, continuous boundary data with regions…
Conformal gradient vector fields on Riemannian manifolds with boundary
Israel Evangelista, Emanuel Viana
Let be an -dimensional compact connected Riemannian manifold with smooth boundary. We show that the presence of a nontrivial conformal gradient vector field on , wi…
Asymptotic Dirichlet problems in warped products
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen +1
We study the asymptotic Dirichlet problem for Killing graphs with prescribed mean curvature in warped product manifolds . In the first part of the p…