Subdifferentials and Minimizing Sard Conjecture in Sub-Riemannian Geometry

L Rifford

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arXiv · 2302.02660

Subdifferentials and Minimizing Sard Conjecture in Sub-Riemannian Geometry

L Rifford

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Abstract

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.

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BibTeX RIS

L Rifford. 2023-02-06. Subdifferentials and Minimizing Sard Conjecture in Sub-Riemannian Geometry. https://arxiv.org/abs/2302.02660

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