A Minkowski inequality for hypersurfaces in the   Anti-deSitter-Schwarzschild manifold
  We prove a sharp inequality for hypersurfaces in the n-dimensional Anti-deSitter-Schwarzschild manifold for general n greater or equal to 3. 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 new monotonicity formula for inverse mean curvature flow, and uses a geometric inequality established by the first author in [3]. 
Simon Brendle, Pei-Ken Hung, and Mu-Tao Wang
math.DG gr-qc