M. Magnabosco - C. Rigoni
Optimal maps and local-to-global property in negative dimensional spaces with Ricci curvature bounded from below
preprint
Inserted: 26 may 2021
Year: 2021
Abstract:
In this paper we investigate two important properties of metric measure spaces satisfying the reduced curvature-dimension condition for negative values of the dimension parameter: the existence of a transport map between two suitable marginals and the so-called local-to-global property.