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arXiv · 1602.03542

Weakly Hamiltonian actions

David Martínez Torres·Eva Miranda
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Abstract

In this paper we generalize constructions of non-commutative integrable 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.

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David Martínez Torres, Eva Miranda. 2016-02-10. Weakly Hamiltonian actions. https://doi.org/10.1016/j.geomphys.2016.04.022

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