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

By Davide Barilari, Yacine Chitour, Frederic Jean, D. Prandi, Mario Sigalotti. Journal des Mathématiques Pures et Appliquées, 2018

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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 $C^{1}$.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/db1eba6e0e615a502cf68485e0568cb208b11642