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

Dario Prandi; Davide Barilari; Fr\'ed\'eric Jean; Mario Sigalotti; Yacine Chitour

arxiv: 1804.00971 · v2 · pith:CD7Z3XGCnew · submitted 2018-04-03 · 🧮 math.OC · math.DG

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

Davide Barilari , Yacine Chitour , Fr\'ed\'eric Jean , Dario Prandi , Mario Sigalotti This is my paper

classification 🧮 math.OC math.DG

keywords rankstructuressub-riemannianabnormalclasslength-minimizersregularityconsequence

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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 $C^{1}$.

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

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