Journal article
Quantitative isoperimetry à la Levy-Gromov
- Abstract:
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On a Riemannian manifold with a positive lower bound on the Ricci tensor, the distance of isoperimetric sets from geodesic balls is quantitatively controlled in terms of the gap between the isoperimetric profile of the manifold and that of a round sphere of suitable radius. The deficit between the diameters of the manifold and of the corresponding sphere is likewise bounded. These results are actually obtained in the more general context of (possibly nonsmooth) metric measure spaces with curv...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Accepted manuscript, pdf, 447.3KB)
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- Publisher copy:
- 10.1002/cpa.21808
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Authors
Bibliographic Details
- Publisher:
- Wiley Publisher's website
- Journal:
- Communications on Pure and Applied Mathematics Journal website
- Volume:
- 72
- Issue:
- 8
- Pages:
- 1631-1677
- Publication date:
- 2018-12-22
- Acceptance date:
- 2018-07-11
- DOI:
- EISSN:
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1097-0312
- ISSN:
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0010-3640
- Source identifiers:
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1061627
Item Description
- Keywords:
- Pubs id:
-
pubs:1061627
- UUID:
-
uuid:98bf14d4-f280-4115-882c-8828a9e8d3ce
- Local pid:
- pubs:1061627
- Deposit date:
- 2019-10-11
Terms of use
- Copyright holder:
- Wiley Periodicals, Inc
- Copyright date:
- 2018
- Notes:
- © 2018 Wiley Periodicals, Inc. This is the accepted manuscript version of the article. The final version is available online from Wiley at: https://doi.org/10.1002/cpa.21808
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