Description:
<jats:p>In this paper, we use the inverse mean curvature flow to establish an optimal Minkowski type inequality, a weighted Alexandrov-Fenchel inequality for the mean convex star-shaped hypersurfaces in the Reissner-Nordström-anti-deSitter manifold, and a Penrose type inequality for asymptotically locally hyperbolic manifolds which can be realized as graphs over the Reissner-Nordström-anti-deSitter manifold.</jats:p>