Tulczyjew's Triplet for Lie Groups II: Dynamics
Differential Geometry
2015-03-24 v1
Abstract
Taking configuration space as a Lie group, the trivialized Euler-Lagrange and Hamilton's equations are obtained and presented as Lagrangian submanifolds of the trivialized Tulczyjew's symplectic space. Euler-Poincar\'{e} and Lie-Poisson equations are presented as Lagrangian submanifolds of the reduced Tulczyjew's symplectic space. Tulczyjew's generalized Legendre transformations for trivialized and reduced dynamics are constructed.
Keywords
Cite
@article{arxiv.1503.06566,
title = {Tulczyjew's Triplet for Lie Groups II: Dynamics},
author = {Oğul Esen and Hasan Gümral},
journal= {arXiv preprint arXiv:1503.06566},
year = {2015}
}
Comments
40 pages