Weakly Hamiltonian actions
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n this paper we generalize constructions of non-commutative in- tegrable systems to the context of weakly Hamiltonian actions on Poisson manifolds. In particular we prove that abelian weakly Hamiltonian actions on symplectic manifolds split into Hamiltonian and non-Hamiltonian factors, and explore generalizations in the Poisson setting.
CitationMiranda, E., MARTINEZ, D. Weakly Hamiltonian actions. "Journal of geometry and physics", 2016, p. 1-10.