Mass transportation on sub-Riemannian structures of rank two in dimension four
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Mass transportation on sub-Riemannian structures of rank two in dimension four |
| Type de publication | Journal Article |
| Year of Publication | 2019 |
| Auteurs | Badreddine Z. |
| Journal | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE |
| Volume | 36 |
| Pagination | 837-860 |
| Date Published | MAY-JUN |
| Type of Article | Article |
| ISSN | 0294-1449 |
| Mots-clés | Optimal transport problem, Sub-Riemannian geometry |
| 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. (C) 2018 Elsevier Masson SAS. All rights reserved. |
| DOI | 10.1016/j.anihpc.2018.10.003 |