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math.SG2004★ 7 cited
Nonlinearizability of certain Poisson structures near a symplectic leaf
Benjamin Lent Davis, Aissa Wade
We give an intrinsic proof that Vorobjev's first approximation of a Poisson manifold near a symplectic leaf is a Poisson manifold. We also show that Conn's linearization results ca…
math.SG2002
Nambu-Dirac Structures on Lie Algebroids
Aissa Wade
The theory of Nambu-Poisson structures on manifolds is extended to the context of Lie algebroids, in a natural way based on the Vinogradov bracket associated with Lie algebroid coh…