1209.0669 (Simon Brendle et al.)

A Minkowski-type inequality for hypersurfaces in the
Anti-deSitter-Schwarzschild manifold    [PDF]

Simon Brendle, Pei-Ken Hung, Mu-Tao Wang

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 [18] for surfaces in the three dimensional Euclidean space. The proof relies on a new monotonicity formula for inverse mean curvature flow, and uses a geometric inequality established in [4].

View original: http://arxiv.org/abs/1209.0669