60 citations · 402 across the 74 of their papers we have counts for
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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…
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…
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…
Mass Lower Bounds for Asymptotically Locally Flat Manifolds
Marcus Khuri, Jian Wang
We establish positive mass type theorems for asymptotically locally flat (ALF) manifolds, which have asymptotic ends modeled on circle bundles over a Euclidean base with fibers of…
The Positive Mass Theorem for Creased Initial Data
Demetre Kazaras, Marcus Khuri, Michael Lin
We establish a spacetime positive mass theorem and rigidity statement for asymptotically flat spin initial data sets with a codimension one singularity controlled by a matching Bar…
Proof of the Spacetime Penrose Inequality With Suboptimal Constant in the Asymptotically Flat and Asymptotically Hyperboloidal Regimes
Brian Allen, Edward Bryden, Demetre Kazaras +1
We establish mass lower bounds of Penrose-type in the setting of -dimensional initial data sets for the Einstein equations satisfying the dominant energy condition, which are ei…