48 citations · 48 across the 6 of their papers we have counts for
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A mass-type invariant for smooth metric measure spaces and its relation with the fractional Yamabe problem
Sergio Almaraz, Levi Lopes de Lima, Shaodong Wang
On asymptotically Schwarzschild smooth metric measure spaces modeled on the Euclidean half-space, we define a new mass-type invariant analogous to the ADM mass of an asymptotically…
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…
A compactness theorem for scalar-flat metrics on manifolds with boundary
Sergio Almaraz
Let (M,g) be a compact Riemannian manifold with boundary. This paper is concerned with the set of scalar-flat metrics which are in the conformal class of g and have the boundary as…