Subdifferentials and Minimizing Sard Conjecture in Sub-Riemannian Geometry

We use techniques from nonsmooth analysis and geometric measure theory to provide new examples of complete sub-Riemannian structures satisfying the Minimizing Sard conjecture. In particular, we show that complete sub-Riemannian structures associated with distributions of co-rank 2 or generic distrib...

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Bibliographic Details
Main Author Rifford, L
Format Journal Article
LanguageEnglish
Published 06.02.2023
Subjects
Mathematics - Differential Geometry
Mathematics - Metric Geometry
Mathematics - Optimization and Control
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Summary:We use techniques from nonsmooth analysis and geometric measure theory to provide new examples of complete sub-Riemannian structures satisfying the Minimizing Sard conjecture. In particular, we show that complete sub-Riemannian structures associated with distributions of co-rank 2 or generic distributions of rank $\ge$ 2 satisfy the Minimizing Sard conjecture.
DOI:10.48550/arxiv.2302.02660