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arXiv · 1706.07308

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

Zeinab Badreddine
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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.

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Zeinab Badreddine. 2017-06-22. Mass Transportation on sub-Riemannian structures of rank two in dimension four. https://arxiv.org/abs/1706.07308

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