Article
MSC:
53D17,
53D99,
58A10,
70G10,
70G45,
70H50 | MR 3434604 | Zbl 06537726 | DOI: 10.5817/AM2015-4-211
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Keywords:
Nambu bracket; Darboux Theorem; Moser trick; multisymplectic; presymplectic; Weinstein splitting principle
Nambu bracket; Darboux Theorem; Moser trick; multisymplectic; presymplectic; Weinstein splitting principle
Summary:
It is well-known that the Fundamental Identity (FI) implies that Nambu brackets are decomposable, i.e. given by a determinantal formula. We find a weaker alternative to the FI that allows for non-decomposable Nambu brackets, but still yields a Darboux-like Theorem via a Nambu-type generalization of Weinstein’s splitting principle for Poisson manifolds.
References:
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