Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds

被引：0
|
作者：
Cavalletti, Fabio [1 ]
Mondino, Andrea [2 ]
机构：
[1] Univ Pavia, Dipartimento Matemat, Via Ferrata 1, I-27100 Pavia, Italy
[2] Univ Warwick, Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, England
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2018年 / 29卷 / 03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; sets of finite perimeter; Ricci curvature; optimal transport; localization technique; METRIC-MEASURE-SPACES; DIMENSION CONDITION; FINE PROPERTIES; SHARP;
D O I：
10.4171/RLM/814
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：413 / 430
页数：18
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