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math.DG2018★ 6 cited
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…
math.DG2018
A spinorial approach to constant scalar curvature hypersurfaces in pseudo-hyperbolic manifolds
Frederico Girão, Diego Rodrigues
Using spinorial techniques, we prove, for a class of pseudo-hyperbolic ambient manifolds, a Heintze-Karcher type inequality. We then use this inequality to show an Alexandrov type…