Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds
Metric Geometry
2019-05-08 v2 Differential Geometry
Functional Analysis
Abstract
We prove that the results regarding the Isoperimetric inequality and Cheeger constant formulated in terms of the Minkowski content, obtained by the authors in previous papers in the framework of essentially non-branching metric measure spaces verifying the local curvature dimension condition, also hold in the stronger formulation in terms of the perimeter.
Keywords
Cite
@article{arxiv.1610.05044,
title = {Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds},
author = {Fabio Cavalletti and Andrea Mondino},
journal= {arXiv preprint arXiv:1610.05044},
year = {2019}
}
Comments
13 pages, final version to appear in Rend. Lincei Mat. Appl. arXiv admin note: text overlap with arXiv:1505.02061