4 citations · 7 across the 8 of their papers we have counts for
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gr-qc2024
A Penrose-type inequality for static spacetimes
Brian Harvie
We establish a lower bound on the total mass of the time slices of (n + 1)-dimensional asymptotically flat standard static spacetimes under the timelike convergence condition. The…
math.DG2024★ 1 cited
On weak inverse mean curvature flow and Minkowski-type inequalities in hyperbolic space
Brian Harvie
We prove that a proper weak solution to inverse mean curvature flow in , , is smooth and star-shaped by the time \…
math.DG2024★ 1 cited
Quasi-spherical metrics and the static Minkowski inequality
Brian Harvie, Ye-Kai Wang
We prove that equality within the Minkowski inequality for asymptotically flat static manifolds is achieved only by slices of Schwarzschild space.