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Invariant metrics and Hamiltonian Systems

Gabriela Ovando
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Abstract

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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Gabriela Ovando. 2003-01-28. Invariant metrics and Hamiltonian Systems. https://doi.org/10.1088/1742-6596/175/1/012012

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