40 citations · 41 across the 5 of their papers we have counts for
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A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary
Sergio Almaraz, Shaodong Wang
On a smooth asymptotically flat Riemannian manifold with non-compact boundary, we prove a positive mass theorem for metrics which are only continuous across a compact hypersurface.…
A priori estimates for negative constant scalar curvature conformal metrics with positive constant boundary mean curvature
Sergio Almaraz, Shaodong Wang
On a compact Riemannian manifold with boundary, we study the set of conformal metrics of negative constant scalar curvature in the interior and positive constant mean curvature on…
A compactness theorem for conformal metrics with constant scalar curvature and constant boundary mean curvature in dimension three
Sergio Almaraz, Shaodong Wang
On a compact three-dimensional Riemannian manifold with boundary, we prove the compactness of the full set of conformal metrics with positive constant scalar curvature and constant…
Mass, center of mass and isoperimetry in asymptotically flat -manifolds
Sergio Almaraz, Levi Lopes de Lima
We revisit the interplay between the mass, the center of mass and the large scale behavior of certain isoperimetric quotients in the setting of asymptotically flat -manifolds (b…
Spacetime positive mass theorems for initial data sets with noncompact boundary
Sergio Almaraz, Levi Lopes de Lima, Luciano Mari
In this paper, we define an energy-momentum vector at the spatial infinity of either asymptotically flat or asymptotically hyperbolic initial data sets carrying a non-compact bound…
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…