### Dario Prandi

Researcher in control theory and biomimetic image processing.

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

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

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 $C^1$.