On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures (Q2281151)
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| Language | Label | Description | Also known as |
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| English | On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures |
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On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures (English)
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19 December 2019
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The \(C^1\) regularity of all length-minimizers in a sub-Riemannian manifold is an open Problem. From the introduction: ``This paper proves 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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sub-Riemannian geometry
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geodesics
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abnormal extremals
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