Subdifferentials and minimizing Sard conjecture in sub-Riemannian geometry
Copyright policy )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 distributions of rank ≥ 2 satisfy the Minimizing Sard conjecture.
- Université Côte d'Azur France
- UNIVERSITE COTE D'AZUR France
- Université Côte d Azur France
- Université Côte d’Azur France
- Université Côte d'Azur France
Mathematics - Differential Geometry, minimizing Sard conjecture, Mathematics - Metric Geometry, Differential Geometry (math.DG), sub-Riemannian structures, Optimization and Control (math.OC), Nonsmooth analysis, FOS: Mathematics, Metric Geometry (math.MG), Mathematics - Optimization and Control, Sub-Riemannian geometry
Mathematics - Differential Geometry, minimizing Sard conjecture, Mathematics - Metric Geometry, Differential Geometry (math.DG), sub-Riemannian structures, Optimization and Control (math.OC), Nonsmooth analysis, FOS: Mathematics, Metric Geometry (math.MG), Mathematics - Optimization and Control, Sub-Riemannian geometry
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