Remark on an inequality for closed hypersurfaces in complete manifolds with nonnegative Ricci curvature

TL;DR

This paper provides a straightforward proof of a recent inequality related to closed hypersurfaces within complete manifolds that have nonnegative Ricci curvature, enhancing understanding of geometric inequalities.

Contribution

The authors present a simplified proof of an existing inequality for closed hypersurfaces in manifolds with nonnegative Ricci curvature, clarifying previous results.

Findings

Simplified proof of the inequality

Enhanced understanding of hypersurface geometry

Potential applications to geometric analysis

Abstract

We give a simple proof of a recent result due to Agostiniani, Fogagnolo and Mazzieri.