Symmetries of second order differential equations on Lie algebroids

JOURNAL OF GEOMETRY AND PHYSICS

卷:117

Article

Popescu, Liviu¹ 

[1] Univ Craiova, Dept Stat & Econ Informat, 13 Al I Cuza St, Craiova 200585, Romania

关键词: Lie algebroids;    Symmetries;    Semispray;    Nonlinear connection;    Dynamical covariant derivative;    Jacobi endomorphism;   

DOI  :  10.1016/j.geomphys.2017.03.006

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free