Symmetries of second order differential equations on Lie algebroids
Differential Geometry
2017-04-26 v2
Abstract
In this paper we investigate the relations between semispray, nonlinear connection, dynamical covariant derivative and Jacobi endomorphism on Lie algebroids. Using these geometric structures, we study the symmetries of second order differential equations in the general framework of Lie algebroids.
Keywords
Cite
@article{arxiv.1603.06499,
title = {Symmetries of second order differential equations on Lie algebroids},
author = {Liviu Popescu},
journal= {arXiv preprint arXiv:1603.06499},
year = {2017}
}
Comments
Section 4 revised, Journal of Geometry and Physics, 2017. arXiv admin note: text overlap with arXiv:1302.5212