The Monge-Kantorovich tangent bundle to a measure

Adolfo Arroyo-Rabasa, Averil Aussedat, Guy Bouchitté

We study the tangent bundle $T_{\mu }$ to a Radon measure $\mu$ in Euclidean space, introduced by Bouchitté, Champion and Jimenez (2005). Its construction, inspired by Monge-Kantorovich o…