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

Davide Barilari, Yacine Chitour, Frédéric Jean,
Dario Prandi and Mario Sigalotti
submitted
Publication type:
Paper in peer-reviewed journals
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-2200,
    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 },
    year={submitted },
}