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Generalized n-Poisson brackets on a symplectic manifold

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arxiv math/9902129 v1 pith:RWUW4V5W submitted 1999-02-23 math.DG math-phmath.MP

Janusz Grabowski , Giuseppe Marmo This is my paper · ORCID
classification math.DGmath-phmath.MP
keywords bracketssymplecticgeneralizedmanifoldassociatedcasesdiracdynamics
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On a symplectic manifold a family of generalized Poisson brackets associated with powers of the symplectic form is studied. The extreme cases are related to the Hamiltonian and Liouville dynamics. It is shown that the Dirac brackets can be obtained in a similar way.

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  1. Nambu variant of Local Resolution of Problem of Time and Background Independence

    gr-qc 2019-08 reject novelty 5.0 of 10

    The paper extends a local resolution of the Problem of Time to Nambu n-ary bracket formalism, introducing Nambu-Dirac and Nambu algorithms and a claimed uniqueness theorem for Nambu observables.

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