Subdifferentials and Minimizing Sard Conjecture in Sub-Riemannian Geometry
Differential Geometry
2023-02-07 v1 Metric Geometry
Optimization and Control
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 2 satisfy the Minimizing Sard conjecture.
Cite
@article{arxiv.2302.02660,
title = {Subdifferentials and Minimizing Sard Conjecture in Sub-Riemannian Geometry},
author = {L Rifford},
journal= {arXiv preprint arXiv:2302.02660},
year = {2023}
}