The Levy-Gromov Isoperimetric Inequality in Convex Manifolds with Boundary

TL;DR

This paper extends the Levy-Gromov isoperimetric inequality to convex manifolds with boundary, broadening its applicability in geometric analysis.

Contribution

It demonstrates that the Levy-Gromov inequality applies to convex manifolds with boundary, generalizing previous results to a wider class of geometric spaces.

Findings

Levy-Gromov inequality holds in convex manifolds with boundary

Extension of isoperimetric inequality to new geometric settings

Builds on work by Bayle and Rosales

Abstract

We observe after Bayle and Rosales that the Levy-Gromov isoperimetric inequality generalizes to convex manifolds with boundary.