The geodesic flow on nilpotent Lie groups of steps two and three

DOI10.3934/dcds.2021119zbMath1487.53109OpenAlexW3197053716MaRDI QIDQ2062708

Gabriela Paola Ovando

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021119

zbMATH Keywords

geodesic flowfirst integralsLiouville integrabilitynilpotent Lie groupsKilling tensor fields

Mathematics Subject Classification ID

Hamilton's equations (70H05) Lie algebras of Lie groups (22E60) Nilpotent and solvable Lie groups (22E25) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Geodesic flows in symplectic geometry and contact geometry (53D25) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items

Classification of K -forms in nilpotent Lie algebras associated to graphs

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