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math.DG2025
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…
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.