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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
The mass of an asymptotically hyperbolic manifold with a noncompact boundary
Sergio Almaraz, Levi Lopes de Lima
We define a mass-type invariant for asymptotically hyperbolic manifolds with a noncompact boundary which are modelled at infinity on the hyperbolic half-space and prove a sharp pos…