Invariant metrics and Hamiltonian Systems

Details Invariant metrics and Hamiltonian Systems Invariant metrics and Hamiltonian Systems

2003-01-28

arxiv.org/abs/math/0301332v2

Journal of Physics: Conference Series 175 (2009) 012012

Mathematics

Differential Geometry

16 pages corrected typos, changed contents (Prop. 3.4 and Theorem in Section 3)

Scientific paper

10.1088/1742-6596/175/1/012012

Via a non degenerate symmetric bilinear form we identify the coadjoint
representation with a new representation and so we induce on the orbits a
simplectic form. By considering Hamiltonian systems on the orbits we study some
features of them and finally find commuting functions under the corresponding
Lie-Poisson bracket

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