Calculus of Variations and Geometric Measure Theory

D. Barilari - Y. Chitour - F. Jean - D. Prandi - M. Sigalotti

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

created by barilari on 03 Apr 2018
modified on 16 Apr 2021


Published Paper

Inserted: 3 apr 2018
Last Updated: 16 apr 2021

Journal: Journal de Mathématiques Pures et Appliquées
Year: 2020


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 $C^{1}$.