17 citations · 33 across the 4 of their papers we have counts for
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math.DG2007★ 13 cited
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
D. Iglesias, J. C. Marrero, D. Martin de Diego +2
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 c…
math.DG2004★ 17 cited
Classical Field theory on Lie algebroids: multisymplectic formalism
Eduardo Martinez
The jet formalism for Classical Field theories is extended to the setting of Lie algebroids. We define the analog of the concept of jet of a section of a bundle and we study some o…