A Special Nonlinear Connection in Second Order Geometry
Differential Geometry
2007-07-02 v1 Mathematical Physics
math.MP
Abstract
We show that, for mechanical system with external forces, the equations of deviations of solution curves of the corresponding Lagrange equations,determine a nonlinear connection on the second order osculator (second order tangent) bundle. In particular, Jacobi equations in Finsler and Riemann spaces determine such a nonlinear connection.
Cite
@article{arxiv.0706.4362,
title = {A Special Nonlinear Connection in Second Order Geometry},
author = {Nicoleta Brinzei},
journal= {arXiv preprint arXiv:0706.4362},
year = {2007}
}