Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
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.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2007-03-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2007/049/ |