A note about integrable systems on low-dimensional Lie groups and Lie algebras

DOI10.1134/S156035471903002XzbMath1435.37082OpenAlexW2949019997WikidataQ115247415 ScholiaQ115247415MaRDI QIDQ2284595

Jinrong Bao, Alexei V. Bolsinov

Publication date: 15 January 2020

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s156035471903002x

zbMATH Keywords

Lie groupsintegrable systemsgeodesic flowsub-Riemannian structureleft-invariant metric

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Applications of local differential geometry to the sciences (53B50) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Related Items (3)

\(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_0^4\) ⋮ Quantum Bianchi-VII problem, Mathieu functions and arithmetic ⋮ Almost multiplicity free subgroups of compact Lie groups and polynomial integrability of sub-Riemannian geodesic flows

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