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GENERALIZED n-POISSON BRACKETS ON A SYMPLECTIC MANIFOLD

J. GRABOWSKI, G. MARMO
1998 Modern Physics Letters A  

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1999 pre-print arXiv:math/9902129v1 fatcat:oupl43unjbbxbka4p4pftdrxpi
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.
doi:10.1142/s0217732398003399 fatcat:fjt3xagmxzfdbp3z7yrbrqxneq
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J. GRABOWSKI, G. MARMO. "GENERALIZED n-POISSON BRACKETS ON A SYMPLECTIC MANIFOLD." Modern Physics Letters A 13.39 (1998) 3185-3192