On the subRiemannian cut locus in a model of free two-step Carnot group

DOI10.1007/s00526-017-1149-1zbMath1365.53039arXiv1608.06431OpenAlexW3101653495MaRDI QIDQ526941

Annamaria Montanari, Daniele Morbidelli

Publication date: 15 May 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06431

zbMATH Keywords

cut locussub-Riemannian distancecorner-like singularitiesstep-two Carnot groups

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Sub-Riemannian geometry (53C17)

Related Items

Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions ⋮ On symmetries of a sub-Riemannian structure with growth vector \((4, 7)\) ⋮ On the cut locus of free, step two Carnot groups ⋮ GOH Conditions for Minima of Nonsmooth Problems with Unbounded Controls ⋮ Symmetries in left-invariant optimal control problems ⋮ Symmetric Extremal Trajectories in Left-Invariant Optimal Control Problems ⋮ Sub-Riemannian interpolation inequalities ⋮ Casimir functions of free nilpotent Lie groups of steps 3 and 4 ⋮ Homogeneous geodesics in sub-Riemannian geometry

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