48 citations · 154 across the 18 of their papers we have counts for
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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…
math.DG2018★ 17 cited
A compactness theorem for scalar-flat metrics on 3-manifolds with boundary
Sergio Almaraz, Olivaine S. de Queiroz, Shaodong Wang
Let (M,g) be a compact Riemannian three-dimensional manifold with boundary. We prove the compactness of the set of scalar-flat metrics which are in the conformal class of g and hav…