572 research outputs found
Computations of Nambu-Poisson cohomologies
We try to generalize the Poisson cohomology of a 2-dimensional Poisson
manifold to the n-vectors on a n-dimensional manifold. We define several
cohomologies and we compute locally some of them, in the case of germs at 0 of
n-vectors on a real or complex vector field of dimension n.Comment: 14 page
Normal forms of vector fields on Poisson manifolds
We study formal and analytic normal forms of radial and Hamiltonian vector
fields on Poisson manifolds near a singular point.Comment: Final versio
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