18 citations · 18 across the 1 of their papers we have counts for
3 papers
math.DG2005★ 18 cited
Lagrangian submanifolds and dynamics on Lie affgebroids
D. Iglesias, J. C. Marrero, E. Padrón +1
We introduce the notion of a symplectic Lie affgebroid and their Lagrangian submanifolds in order to describe the Lagrangian (Hamiltonian) dynamics on a Lie affgebroid in terms of…
math.DG2003
Poisson-Jacobi reduction of homogeneous tensors
J. Grabowski, D. Iglesias, J. C. Marrero +2
The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence between multivector fields on a manifold , homogeneous with respect to a vector…
math.DG2001
Lie algebroid foliations and -Dirac structures
D. Iglesias, J. C. Marrero
We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algebroid over and the leaves of the Lie algebroid foliation on associated w…