Benamou-Brenier and Kantorovich on sub-Riemannian manifolds with no abnormal geodesics

Giovanna Citti, Mattia Galeotti, Andrea Pinamonti

We prove that the Benamou-Brenier formulation of the Optimal Transport problem and the Kantorovich formulation are equivalent on a sub-Riemannian connected and complete manifold $M…