# A Minkowski inequality for hypersurfaces in the Anti-deSitter-Schwarzschild manifold

Wednesday, December 14, 2016 -

3:00pm to 4:00pm

We prove a sharp inequality for hypersurfaces in the Anti-deSitter-Schwarzschild manifold. This inequality generalizes the classical Minkowski inequality for surfaces in the three dimensional Euclidean space, and has a natural interpretation in terms of the Penrose inequality for collapsing null shells of dust. The proof relies on a monotonicity formula for inverse mean curvature flow, and uses a geometric inequality established by Brendle.

Speaker:

Pei-Ken Hung

Columbia University

Event Location:

Fine Hall 314