3 papers
math.DG2026
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 an asymptotically Schwarzschild smooth metric measure space modelled on the Euclidean half-space, we define a mass-type quantity similar to the classical ADM mass in General Rel…
math.DG2025
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.…
math.DG2025
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…