Mass transportation on sub-Riemannian structures of rank two in dimension four

Zeinab Badreddine (1, 2, 3)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 IMB - Institut de Mathématiques de Bourgogne [Dijon]
3 McTAO - Mathematics for Control, Transport and Applications

This paper is concerned with the study of the Monge optimal transport problem in sub-Riemannian manifolds where the cost is given by the square of the sub-Riemannian distance. Our aim is to extend previous results on existence and uniqueness of optimal transport maps to cases of sub-Riemannian structures which admit many singular minimizing geodesics. We treat here the case of sub-Riemannian structures of rank two in dimension four.

Domaines: Mathématiques [math]

Zeinab Badreddine. Mass transportation on sub-Riemannian structures of rank two in dimension four. 2017. ⟨hal-01662926⟩