Journal of Nonlinear Mathematical Physics

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Volume 11, Issue Supplement 1, October 2004, Pages 43 - 48

On Poisson Realizations of Transitive Lie Algebroids

Authors
Yuri Vorobiev
Corresponding Author
Yuri Vorobiev
Available Online 1 October 2004.
DOI
10.2991/jnmp.2004.11.s1.5How to use a DOI?
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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - Supplement 1
Pages
43 - 48
Publication Date
2004/10/01
ISBN
91-974824-2-0
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.s1.5How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Yuri Vorobiev
PY  - 2004
DA  - 2004/10/01
TI  - On Poisson Realizations of Transitive Lie Algebroids
JO  - Journal of Nonlinear Mathematical Physics
SP  - 43
EP  - 48
VL  - 11
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.s1.5
DO  - 10.2991/jnmp.2004.11.s1.5
ID  - Vorobiev2004
ER  -