Invariant metrics and Hamiltonian Systems
classification
🧮 math.DG
math-phmath.MP
keywords
formhamiltonianorbitsrepresentationsystemsbilinearbracketcoadjoint
read the original 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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