Mass Transportation on sub-Riemannian structures of rank two in dimension four
Differential Geometry
2017-06-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1706.07308,
title = {Mass Transportation on sub-Riemannian structures of rank two in dimension four},
author = {Zeinab Badreddine},
journal= {arXiv preprint arXiv:1706.07308},
year = {2017}
}