Journal article
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, as put forth in [87, Sec. 9]. With the aim of achieving such a unification program, in this paper we initiate the study of gauge metric measure spaces.
- Publication status:
- Accepted
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- American Mathematical Society
- Journal:
- Memoirs of the American Mathematical Society More from this journal
- Acceptance date:
- 2024-03-13
- EISSN:
-
1947-6221
- ISSN:
-
0065-9266
Item Description
- Language:
-
English
- Pubs id:
-
1992700
- Local pid:
-
pubs:1992700
- Deposit date:
-
2024-04-26
Terms of use
- Notes:
- For the purpose of Open Access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript (AAM) version arising from this submission.
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