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https://hdl.handle.net/10316/11369
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 | URI: | https://hdl.handle.net/10316/11369 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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Internal deformation of Lie algebroids.pdf | 246.42 kB | Adobe PDF | View/Open |
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