Time-dependent Mechanics and Lagrangian submanifolds of Dirac manifolds
Differential Geometry
2015-05-19 v2 Mathematical Physics
math.MP
Abstract
A description of time-dependent Mechanics in terms of Lagrangian submanifolds of Dirac manifolds (in particular, presymplectic and Poisson manifolds) is presented. Two new Tulczyjew triples are discussed. The first one is adapted to the restricted Hamiltonian formalism and the second one is adapted to the extended Hamiltonian formalism.
Keywords
Cite
@article{arxiv.1009.0174,
title = {Time-dependent Mechanics and Lagrangian submanifolds of Dirac manifolds},
author = {E. Guzmán and J. C. Marrero},
journal= {arXiv preprint arXiv:1009.0174},
year = {2015}
}