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

Davide Barilari, Yacine Chitour, Frédéric Jean +2

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 $2$…