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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2279| Title: | Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group |
| Keywords: | Lie algebroids and subalgebroids Symplectic Lie algebroids Hamiltonian dynamics Reduction procedure |
| Publisher: | National Academy of Sciences of Ukraine |
| Description: | This paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the generality of the theory. Supported in part by BFM2003-01319, MTM2006-03322, MTM2004-7832, S-0505/ESP/0158 of the CAM and BFM2003-02532. Peer reviewed |
| URI: | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2279 |
| Other Identifiers: | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 3 (2007), 049 1815-0659 http://hdl.handle.net/10261/2279 |
| Appears in Collections: | Digital Csic |
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