On poisson realizations of transitive lie algebroids

Yuri Vorobiev

doi:10.2991/jnmp.2004.11.s1.5

On poisson realizations of transitive lie algebroids

Yuri Vorobiev

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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 language	American English
Pages (from-to)	43-48
Number of pages	6
Journal	Journal of Nonlinear Mathematical Physics
DOIs	https://doi.org/10.2991/jnmp.2004.11.s1.5
State	Published - 1 Jan 2004
Externally published	Yes

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title = "On poisson realizations of transitive lie algebroids",

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. {\textcopyright} 2004 Taylor & Francis Group, LLC.",

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year = "2004",

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doi = "10.2991/jnmp.2004.11.s1.5",

language = "American English",

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AB - 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.

U2 - 10.2991/jnmp.2004.11.s1.5

DO - 10.2991/jnmp.2004.11.s1.5

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EP - 48

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

SN - 1402-9251

ER -

On poisson realizations of transitive lie algebroids

Abstract

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