# Uniqueness of the Cheeger set of a convex body

created by novaga on 06 Apr 2006

[BibTeX]

Submitted Paper

Inserted: 6 apr 2006

Year: 2006

Abstract:

We prove that if $C \subset *R*^N$ is of class $C^2$ and uniformly convex, then the Cheeger set of $C$ is unique. The Cheeger set of $C$ is the set which minimizes, inside $C$, the ratio perimeter over volume.