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Title: Internal deformation of Lie algebroids and symplectic realizations
Authors: Cariñena, J. F. 
Costa, J. M. Nunes da 
Santos, Patrícia 
Keywords: Lie algebroids; Internal dynamics; Poisson structures
Issue Date: 2006
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 06-10 (2006)
Abstract: Given a Lie algebroid and a bundle over its base which is endowed with a localizable Poisson structure and a flat connection, we construct an extended bundle whose dual is endowed with an almost-Poisson structure that is a quadratic Poisson structure when a certain compatibility property is satisfied. This new formalism on Lie algebroids describes systems with internal degrees of freedom
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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