Subriemannian geodesics of Carnot groups of step 3

DOI10.1051/cocv/2012006zbMath1276.53041arXiv1105.0844OpenAlexW2155196925MaRDI QIDQ4911018

Kanghai Tan, Xiao-Ping Yang

Publication date: 13 March 2013

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

Full work available at URL: https://arxiv.org/abs/1105.0844

zbMATH Keywords

geodesicscalculus of variationssub-Riemannian geometryGoh conditiongeneralized Legendre-Jacobi condition

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Sub-Riemannian geometry (53C17) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (7)

Measure contraction properties of Carnot groups ⋮ Rigidity for convex-cocompact actions on rank-one symmetric spaces ⋮ Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3 ⋮ Sard property for the endpoint map on some Carnot groups ⋮ Extremal curves in nilpotent Lie groups ⋮ Derivatives of Sub-Riemannian Geodesics are L_p-Hölder Continuous ⋮ On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures

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