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

## TL;DR

This paper proves a sharp Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space using weak solutions of inverse mean curvature flow, advancing geometric analysis in general relativity.

## Contribution

It establishes a new Minkowski-type inequality specific to Schwarzschild space, utilizing inverse mean curvature flow techniques.

## Key findings

- Proved the sharp Minkowski-type inequality in Schwarzschild space.
- Applied weak solutions of inverse mean curvature flow.
- Enhanced understanding of geometric inequalities in general relativity.

## Abstract

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