Symmetries of second order differential equations on Lie algebroids
arXiv:1603.06499 · doi:10.1016/j.geomphys.2017.03.006
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.
Section 4 revised, Journal of Geometry and Physics, 2017. arXiv admin note: text overlap with arXiv:1302.5212