Internal deformation of Lie algebroids and symplectic realizations
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 satisfie...
| Autor principal: | |
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| Outros Autores: | , |
| Formato: | other |
| Idioma: | eng |
| Publicado em: |
2006
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| Assuntos: | |
| Texto completo: | http://hdl.handle.net/10316/11369 |
| País: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/11369 |
| Resumo: | 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 |
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