On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space

Abstract

Using the weak solution of Inverse mean curvature flow, we prove the sharp Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space.

minor revision, accepted by Calculus of Variations and PDE

References in corpus (2)

• On The Capacity of Surfaces in Manifolds with Nonnegative Scalar Curvature
• The inverse mean curvature flow in warped cylinders of non-positive radial curvature

Cited by in corpus (5)

• The Minkowski inequality in de Sitter space
• Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature
• Minkowski inequalities and constrained inverse curvature flows in warped spaces
• A Minkowski-type inequality for capillary hypersurfaces in a half-space
• A Penrose-type inequality for static spacetimes