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math.DG2026
Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities
Marcus Khuri, Jian Wang, Jinmin Wang
We prove the Riemannian positive mass theorem in all dimensions for asymptotically flat -metrics with subcritical singular sets. More precisely, we consider complete asym…
math.DG2026
The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
Sven Hirsch, Marcus Khuri, Martin Lesourd +1
Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloida…
math.DG2026
A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds
Aghil Alaee, Marcus Khuri, Hari Kunduri
We establish sharp lower bounds for the mass of asymptotically locally Euclidean (ALE) and asymptotically locally flat (ALF) toric 4-manifolds, in terms of equilibrium geometries c…