On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures
2020
Publication type:
Paper in peer-reviewed journals
Journal:
Journal de Mathématiques Pures et Appliquées, vol. 133, pp. 118-138
HAL:
arXiv:
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-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},
}