2024-03-28T16:26:51Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/22792021-05-20T18:09:00Zcom_10261_27com_10261_4col_10261_280
00925njm 22002777a 4500
dc
Iglesias, David
author
Marrero, Juan Carlos
author
Martin de Diego, David
author
Martínez, Eduardo
author
Padrón, Edith
author
2007-03-16
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.
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 3 (2007), 049
1815-0659
http://hdl.handle.net/10261/2279
Lie algebroids and subalgebroids
Symplectic Lie algebroids
Hamiltonian dynamics
Reduction procedure
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group