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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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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