Corners in non-equiregular sub-Riemannian manifolds

DOI10.1051/cocv/2014041zbMath1333.53045arXiv1403.2356OpenAlexW2963511930WikidataQ109520643 ScholiaQ109520643MaRDI QIDQ5262289

Davide Vittone, Enrico Le Donne, Roberto Monti, Gian Paolo Leonardi

Publication date: 13 July 2015

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2356

zbMATH Keywords

geodesicscornerssub-Riemannian manifoldsregularity of geodesicsCarnot-Carathéodory distancelength-minimizing curves

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Sub-Riemannian geometry (53C17) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (3)

Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3 ⋮ Existence of tangent lines to Carnot-Carathéodory geodesics ⋮ Non-minimality of corners in subriemannian geometry

Cites Work

• Extremal curves in nilpotent Lie groups
• A family of nonminimizing abnormal curves
• End-point equations and regularity of sub-Riemannian geodesics
• Balls and metrics defined by vector fields. I: Basic properties
• Some remarks on the definition of tangent cones in a Carnot-Carathéodory space
• Regularity results for sub-Riemannian geodesics
• The regularity problem for sub-Riemannian geodesics

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