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The Spacetime Penrose Inequality for Cohomogeneity One Initial Data
Marcus Khuri, Hari Kunduri
We prove the spacetime Penrose inequality for asymptotically flat -dimensional initial data sets for the Einstein equations, which are invariant under a cohomogeneity one a…
math.DG2024
Boundary Behavior of Compact Manifolds With Scalar Curvature Lower Bounds and Static Quasi-Local Mass of Tori
Aghil Alaee, Pei-Ken Hung, Marcus Khuri
A classic result of Shi and Tam states that a 2-sphere of positive Gauss and mean curvature bounding a compact 3-manifold with nonnegative scalar curvature, must have total mean cu…