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https://hdl.handle.net/10316/11389| Title: | Reduction of Lie algebroid structures | Authors: | Cariñena, J. F. Costa, J. M. Nunes da Santos, Patrícia |
Keywords: | Lie algebroids; Poisson geometry; Reduction; Symmetry groups | Issue Date: | 2005 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 05-12 (2005) | Abstract: | Based on the ideas of Marsden-Ratiu, a reduction method for Lie algebroids is developed in such a way that the canonical projection onto the reduced Lie algebroid is a homomorphism of Lie algebroids. A relation between Poisson reduction and Lie algebroid reduction is established. Reduction of Lie algebroids with symmetry is also studied using this method. | URI: | https://hdl.handle.net/10316/11389 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Reduction of Lie algebroid structures.pdf | 272.54 kB | Adobe PDF | View/Open |
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