Symmetries of second order differential equations on Lie algebroids

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.

arXiv commentSection 4 revised, Journal of Geometry and Physics, 2017. arXiv admin note: text overlap with arXiv:1302.5212

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Cited by in corpus (3)

• Constrained Dynamics: Generalized Lie Symmetries, Singular Lagrangians, and the Passage to Hamiltonian Mechanics
• On contact and symplectic Lie algebroids
• Generalized Lie Symmetries and Almost Regular Lagrangians: A Link Between Symmetry and Dynamics