Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
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...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
American Mathematical Society
2024
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| Summary: | 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. |
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