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Computations of Nambu-Poisson cohomologies: case of Nambu-Poisson tensors of order 3 on \(\mathbb R^4\) - MaRDI portal

Computations of Nambu-Poisson cohomologies: case of Nambu-Poisson tensors of order 3 on \(\mathbb R^4\) (Q2471367)

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Computations of Nambu-Poisson cohomologies: case of Nambu-Poisson tensors of order 3 on \(\mathbb R^4\)
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    Computations of Nambu-Poisson cohomologies: case of Nambu-Poisson tensors of order 3 on \(\mathbb R^4\) (English)
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    22 February 2008
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    Summary: We compute the Nambu-Poisson cohomology for Nambu-Poisson tensors of order three which are defined on \(\mathbb R^4\). In particular, we prove that the Nambu-Poisson cohomology of exact Nambu-Poisson tensors is equivalent to relative cohomology.
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    characteristic foliation
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    Hamiltonian vector fields
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