Journal article
Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces
- Abstract:
- The aim of this note is to generalize to the class of non collapsed RCD(K, N) metric measure spaces the volume bound for the effective singular strata obtained by Cheeger and Naber for non collapsed Ricci limits in [13]. The proof, which is based on a quantitative differentiation argument, closely follows the original one. As a simple outcome we provide a volume estimate for the enlargement of Gigli-DePhilippis’ boundary ([20, Remark 3.8]) of ncRCD(K, N) spaces.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 603.4KB, Terms of use)
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- Publisher copy:
- 10.1515/agms-2019-0008
Authors
- Publisher:
- De Gruyter Open
- Journal:
- Analysis and Geometry in Metric Spaces More from this journal
- Volume:
- 7
- Issue:
- 1
- Pages:
- 158-178
- Publication date:
- 2019-09-30
- Acceptance date:
- 2019-08-23
- DOI:
- EISSN:
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2299-3274
- Language:
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English
- Keywords:
- Pubs id:
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1138063
- Local pid:
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pubs:1138063
- Deposit date:
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2020-10-20
Terms of use
- Copyright holder:
- Antonelli et al.
- Copyright date:
- 2019
- Rights statement:
- © 2019 Gioacchino Antonelli et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution alone 4.0 License.
- Licence:
- CC Attribution (CC BY)
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