Symmetries of Hamiltonian Systems on Symplectic and Poisson Manifolds

DOI10.1007/978-3-319-08296-7_4zbMath1304.70020arXiv1401.8157OpenAlexW1618376700MaRDI QIDQ2920997

Charles-Michel Marle

Publication date: 30 September 2014

Published in: Similarity and Symmetry Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.8157

zbMATH Keywords

reductionKepler problemspherical pendulumEuler-Poincaré equation

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Motion of a rigid body with a fixed point (70E17)

Related Items (4)

Weakly Hamiltonian actions ⋮ Polysymplectic Souriau Lie group thermodynamics and the geometric structure of its coadjoint orbits ⋮ Symmetries of Hamiltonian systems on Lie algebroids ⋮ Symmetries and conservation laws of Hamiltonian systems

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