Mass transportation on sub-Riemannian structures of rank two in dimension four |
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Authors: | Z. Badreddine |
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Affiliation: | 1. Université Côte d''Azur, Inria, CNRS, LJAD, France;2. Université de Bourgogne, Institut de Mathématiques de Bourgogne, France |
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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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Keywords: | Sub-Riemannian geometry Optimal transport problem |
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