Calculus of Variations and Geometric Measure Theory

F. Cavalletti - A. Mondino

Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds

created by mondino on 17 Oct 2016
modified on 16 Jan 2018


Accepted Paper

Inserted: 17 oct 2016
Last Updated: 16 jan 2018

Journal: Rend. Lincei. Mat. Appl.
Year: 2016


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.