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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https://hal.archives-ouvertes.fr/hal-01757343
Contributor : Davide Barilari <>
Submitted on : Wednesday, October 24, 2018 - 12:11:57 PM
Last modification on : Wednesday, April 24, 2019 - 6:58:06 AM

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Davide Barilari, Yacine Chitour, Frédéric Jean, Dario Prandi, Mario Sigalotti. On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures. 2018. ⟨hal-01757343v2⟩

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