works on
global differential calculus 1levi-civita connection 1optimal transport 1otto metric 1riemannian geometry 1wasserstein spaces 1

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20242026
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math.DG2026

A 'global' Perspective on the Differential Geometry of Wasserstein Spaces

Lorenzo Dello Schiavo, Andrea Pinamonti

The paper builds a global differential calculus on the L²‑Wasserstein space over a closed Riemannian manifold, defining geometric structures such as a torsion‑free connection and R…