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Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
Інший ID:
2000 Mathematics Subject Classification: 53D20; 58F05; 70H05
Посилання:
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group / D. Iglesias, J.C. Marrero, D. Martín de Diego, E. Martínez, E. Padrón // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 21 назв. — англ.
Підтримка:
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). Supported in part by BFM2003-01319, MTM2006-03322, MTM2004-7832, S-0505/ESP/0158 of the CAM and BFM2003-02532. J.C. Marrero wishes to thank the organizers of the workshop Geometric Aspects of Integrable Systems (Coimbra, 2006) for their hospitality and their job in the organization. Finally, we also would like to thank the anonymous referees for the observations that have improved the manuscript.
Дата:
2007
Переглядів:
461
Завантажень:
236
Анотація:
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.
