Tangent hyperplanes to Subriemannian balls

DOI10.1007/S10883-015-9296-1zbMath1351.53049arXiv1504.00497OpenAlexW2175239418MaRDI QIDQ334619

Andrei A. Agrachev

Publication date: 1 November 2016

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00497

zbMATH Keywords

abnormal geodesicsub-Riemannian ball

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (1)

On the cut locus of free, step two Carnot groups

Cites Work

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• Some properties of the value function and its level sets for affine control systems with quadratic cost
• Any sub-Riemannian metric has points of smoothness
• Genericity results for singular curves
• Regularity of the sub-Riemannian distance and cut locus
• Sub-Riemannian sphere in Martinet flat case
• On the subanalyticity of Carnot-Carathéodory distances

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