Calculus of variations — isoperimetric inequalities for finite perimeter sets under lower ricci curvature bounds, by Fabio Cavalletti and Andrea Mondino, communicated on February 9, 2018

被引：0

作者：

Cavalletti F. ^{[1
]}

Mondino A. ^{[2
]}

机构：

[1] Dipartimento di Matematica, Università degli Studi di Pavia, Via Ferrata 1, Pavia

[2] Mathematics Institute, University of Warwick, Zeeman Building, Coventry

来源：

| 2018年 / European Mathematical Society Publishing House卷 / 29期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

Isopetrimetric inequality; Localization technique; Optimal transport; Ricci curvature; Sets of finite perimeter;

D O I：

10.4171/RLM/814

中图分类号：

学科分类号：

摘要：

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 [15, 16] 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. © European Mathematical Society Publishing House. All rights reserved.

引用

页码：413 / 430

页数：17

共 39 条

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