Abstract
We define a Nambu-Jacobi structure as a bracket of several functions which satisfies the Fundamental Identity. Then we express the Nambu-Jacobi structure in terms of two tensor fields and show the necessary and sufficient conditions that they should satisfy. We investigate the foliations associated with a Nambu-Jacobi structure. This allows us to give many examples of Nambu-Jacobi manifolds.
Citation
Kentaro MIKAMI. Tadayoshi MIZUTANI. "Foliations Associated with Nambu-Jacobi Structures." Tokyo J. Math. 28 (1) 33 - 54, June 2005. https://doi.org/10.3836/tjm/1244208277
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