Volume 11, Issue Supplement 1, October 2004, Pages 43 - 48
On Poisson Realizations of Transitive Lie Algebroids
Available Online 1 October 2004.
- https://doi.org/10.2991/jnmp.2004.11.s1.5How to use a DOI?
- 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.
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Cite this article
TY - JOUR AU - Yuri Vorobiev PY - 2004 DA - 2004/10 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 - https://doi.org/10.2991/jnmp.2004.11.s1.5 ID - Vorobiev2004 ER -