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Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds

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Cavalletti, Fabio and Mondino, Andrea (2018) Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds. Rendiconti Lincei - Matematica e applicationi, 29 (3). pp. 413-430. doi:10.4171/RLM/814 ISSN 1120-6330.

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Official URL: https://doi.org/10.4171/RLM/814

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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 [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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Isoperimetric inequalities, Metric spaces
Journal or Publication Title: Rendiconti Lincei - Matematica e applicationi
Publisher: European Mathematical Society Publishing House
ISSN: 1120-6330
Official Date: 21 June 2018
Dates:
DateEvent
21 June 2018Published
1 December 2017Accepted
Volume: 29
Number: 3
Page Range: pp. 413-430
DOI: 10.4171/RLM/814
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 17 January 2018
Date of first compliant Open Access: 17 January 2018
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
DMS-1440140National Science Foundationhttp://dx.doi.org/10.13039/100000001
EP/R004730/1Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
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