Published Paper

Inserted: 3 apr 2018
Last Updated: 16 apr 2021

Journal: Journal de Mathématiques Pures et Appliquées
Year: 2020
Doi: https://doi.org/10.1016/j.matpur.2019.04.008

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 $C^{1}$.

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