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

Davide Barilari, Yacine Chitour, Frédéric Jean,
Dario Prandi and Mario Sigalotti
to appear
Publication type:
Paper in peer-reviewed journals
Journal:
Journal de Mathématiques Pures et Appliquées
arXiv:
images/icons/icon_arxiv.png 1804.00971
Abstract:
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-2100,
    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={to appear },
}