Integration of geodesic flows on homogeneous spaces: the case of a wild Lie group

DOI10.1023/A:1025691013809zbMath1178.37058arXivmath-ph/0703064MaRDI QIDQ2654860

Alexey A. Magazev, Igor V. Shirokov

Publication date: 21 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0703064

zbMATH Keywords

Lie algebraLie groupPoisson bracketgeodesic flowhomogeneous spaceinvariant operator

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesic flows in symplectic geometry and contact geometry (53D25)

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Integrable magnetic geodesic flows on Lie groups ⋮ Construction of invariant scalar particle wave equations on Riemannian manifolds with external gauge fields ⋮ Integrability of invariant geodesic flows on \(n\)-symmetric spaces

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