Calculus of Variations and Geometric Measure Theory
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M. Magnabosco - C. Rigoni

Optimal maps and local-to-global property in negative dimensional spaces with Ricci curvature bounded from below

created by rigoni on 26 May 2021



Inserted: 26 may 2021

Year: 2021

ArXiv: 2105.12017 PDF


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.

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