Left-Invariant Sub-Riemannian Engel Structures: Abnormal Geodesics and Integrability

DOI10.1137/16M1106511zbMath1407.53028arXiv1611.03634OpenAlexW2962992137WikidataQ115246948 ScholiaQ115246948MaRDI QIDQ4685374

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Publication date: 8 October 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03634

zbMATH Keywords

integrabilitysub-Riemannian geometryEngel distributionabnormal geodesics

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesics in global differential geometry (53C22) Differential invariants (local theory), geometric objects (53A55) Sub-Riemannian geometry (53C17) Nonholonomic dynamical systems (37J60)

Related Items (6)

Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions ⋮ Symmetries in geometric control theory using Maple ⋮ Spectral summability for the quartic oscillator with applications to the Engel group ⋮ Control systems on the Engel group ⋮ Sub-Riemannian interpolation inequalities ⋮ Cartan connections for stochastic developments on sub-Riemannian manifolds

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