Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866912946508005376 |
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| author | Barilari, Davide Mondino, Andrea Rizzi, Luca |
| author_facet | Barilari, Davide Mondino, Andrea Rizzi, Luca |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_07762 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures Barilari, Davide Mondino, Andrea Rizzi, Luca Differential Geometry Functional Analysis Metric Geometry 53C17, 53C21, 49Q22 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. |
| title | Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures |
| topic | Differential Geometry Functional Analysis Metric Geometry 53C17, 53C21, 49Q22 |
| url | https://arxiv.org/abs/2211.07762 |