Please use this identifier to cite or link to this item: 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
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