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