13 citations · 13 across the 2 of their papers we have counts for
3 papers
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.DG2002
Jacobi structures on affine bundles
J. Grabowski, D. Iglesias, J. C. Marrero +2
We study affine Jacobi structures on an affine bundle , i.e. Jacobi brackets that close on affine functions. We prove that there is a one-to-one correspondence between af…
math.DG1999
Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds: modular class and duality
Manuel de Leon, Belen Lopez, Juan C. Marrero +1
Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds are reviewed. We present both in a unified approach using the representation of the Lie algebra of functions on itse…