K-symplectic formalism on Lie algebroids
Mathematical Physics
2009-09-28 v1 math.MP
Abstract
In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field theories on Lie algebroids in the framework of k-symplectic geometry. We discuss the relation between Lagrangian and Hamiltonian descriptions through a convenient notion of Legendre transformation. The theory is a natural generalization of the standard one; in addition, other interesting examples are studied, in particular, systems with symmetry and Poisson sigma models.
Cite
@article{arxiv.0905.4585,
title = {K-symplectic formalism on Lie algebroids},
author = {M. de Leon and D. Martin de Diego and M. Salgado and S. Vilariño},
journal= {arXiv preprint arXiv:0905.4585},
year = {2009}
}
Comments
35 pages