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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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WRAP-isoperimetric-inequalities-finite-perimeter-sets-under-lower-Ricci-curvature-bounds-Mondino-2017.pdf - Accepted Version - Requires a PDF viewer. Download (714Kb) | Preview |
Official URL: https://doi.org/10.4171/RLM/814
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 | |||||||||
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| 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: |
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| 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: |
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