Brian Harvie

most citedOn weak inverse mean curvature flow and Minkowski-type inequalities in hyperbolic space

1 citations · 1 across the 1 of their papers we have counts for

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2026★ 1 cited

On weak inverse mean curvature flow and Minkowski-type inequalities in hyperbolic space

Brian Harvie

We prove that a proper weak solution ${I^c ◯_{t}}_{0 \leq t < \infty}$ to inverse mean curvature flow in $H^{n}$ , $3 \leq n \leq 7$ , is smooth and star-shaped by the time…

math.DG2025

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.

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…