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math.DG2021★ 4 cited
Optimal maps and local-to-global property in negative dimensional spaces with Ricci curvature bounded from below
Mattia Magnabosco, Chiara Rigoni
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:…
math.DG2017★ 7 cited
Recognizing the flat torus among spaces via the study of the first cohomology group
Nicola Gigli, Chiara Rigoni
We prove that if the dimension of the first cohomology group of a space is , then the space is a flat torus. This generalizes a classical result due to Bochner to t…