On Decomposability of Nambu–poisson Tensor

  • D. ALEKSEEVSKY
  • Published 1996

Abstract

Nambu mechanics is a natural generalization of Hamiltonian mechanics [1, 2, 3, 4]. It is defined by Nambu bracket, R-multilinear completely antisymmetric operation {f1, . . . , fm} in the space C∞(M) of functions on a manifold M , which generalizes the bilinear Poisson bracket {f1, f2}. Any m − 1 functions H1, . . .Hm−1 ∈ C∞(M) (Nambu-Hamiltonians… (More)

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