1 citations · 1 across the 1 of their papers we have counts for
4 papers
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…
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…
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.
On the geometry and uniqueness of asymptotically locally hyperbolic static vacuum black holes
Brian Harvie, Ye-Kai Wang
We establish several geometric characterizations and rigidity results for 3-dimensional asymptotically locally hyperbolic (ALH) static spaces with horizon boundary. Notably, a 3-di…