Internet publication
Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
- Abstract:
- Recent advances in the theory of metric measures spaces on the one hand, and of sub-Riemannian ones on the other hand, suggest the possibility of a "great unification" of Riemannian and sub-Riemannian geometries in a comprehensive framework of synthetic Ricci curvature lower bounds. With the aim of achieving such a unification program, in this paper we initiate the study of gauge metric measure spaces.
- Publication status:
- Published
- Peer review status:
- Not peer reviewed
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(Preview, Version of record, pdf, 3.0MB, Terms of use)
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- Publisher copy:
- 10.48550/arxiv.2211.07762
Authors
Bibliographic Details
- Host title:
- arXiv
- Publication date:
- 2022-11-14
- DOI:
Item Description
- Language:
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English
- Pubs id:
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1308705
- Local pid:
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pubs:1308705
- Deposit date:
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2024-04-26
Terms of use
- Copyright holder:
- Barilari et al.
- Copyright date:
- 2022
- Rights statement:
- © 2022 The Authors. This work is made available under the Creative Commons Attribution 4.0 License.
- Licence:
- CC Attribution (CC BY)
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