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arXiv · 2105.12017

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

Mattia Magnabosco·Chiara Rigoni
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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.

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Mattia Magnabosco, Chiara Rigoni. 2021-05-25. Optimal maps and local-to-global property in negative dimensional spaces with Ricci curvature bounded from below. https://arxiv.org/abs/2105.12017

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