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Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2018

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

Résumé

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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Dates et versions

hal-01952439 , version 1 (12-12-2018)

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  • HAL Id : hal-01952439 , version 1

Citer

Z Badreddine. Mass transportation on sub-Riemannian structures of rank two in dimension four. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press. ⟨hal-01952439⟩
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