On poisson realizations of transitive lie algebroids

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Abstract

We show that every transitive Lie algebroid over a connected symplectic manifold comes from an intrinsic Lie algebroid of a symplectic leaf of a certain Poisson structure. The reconstruction of the corresponding Poisson structures from the Lie algebroid is given in terms of coupling tensors. © 2004 Taylor & Francis Group, LLC.
Original languageAmerican English
Pages (from-to)43-48
Number of pages6
JournalJournal of Nonlinear Mathematical Physics
DOIs
StatePublished - 1 Jan 2004
Externally publishedYes

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