On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures

Davide Barilari, Yacine Chitour, Frédéric Jean,
Dario Prandi and Mario Sigalotti

2020

Type de publication :

Article (revues avec comité de lecture)

Journal :

Journal de Mathématiques Pures et Appliquées, vol. 133, pp. 118-138

DOI :

10.1016/j.matpur.2019.04.008

HAL :

hal-01757343

arXiv :

1804.00971

Résumé :

We prove the C^1 regularity for a class of abnormal length-minimizers in rank 2 sub-Riemannian structures. As a consequence of our result, all length-minimizers for rank 2 sub-Riemannian structures of step up to 4 are of class C^1 .

BibTeX :

@article{Bar-Chi-Jea-Pra-Sig-2020,
    author={Davide Barilari and Yacine Chitour and Frédéric Jean and 
           Dario Prandi and Mario Sigalotti },
    title={On the regularity of abnormal minimizers for rank 2 
           sub-Riemannian structures },
    doi={10.1016/j.matpur.2019.04.008 },
    journal={Journal de Mathématiques Pures et Appliquées },
    year={2020 },
    volume={133 },
    pages={118--138},
}