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 Villani (2019). With the aim of achieving such a unification program, in this paper we initiate the study of gauge metric measure spaces.
Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Structures
Barilari D.;
2026
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 Villani (2019). With the aim of achieving such a unification program, in this paper we initiate the study of gauge metric measure spaces.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
