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Journal Articles Journal de Mathématiques Pures et Appliquées Year : 2020

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

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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Dates and versions

hal-01757343 , version 1 (03-04-2018)
hal-01757343 , version 2 (24-10-2018)

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Cite

Davide Barilari, Yacine Chitour, Frédéric Jean, Dario Prandi, Mario Sigalotti. On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures. Journal de Mathématiques Pures et Appliquées, 2020, 133, pp.118-138. ⟨10.1016/j.matpur.2019.04.008⟩. ⟨hal-01757343v2⟩
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