A special nonlinear connection in second order geometry

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

N. Brinzei¹ 

[1] Transilvania University

关键词: Jacobi equations;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

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 tangent bundle. In particular, Jacobi equations in Finsler and Riemann spaces determine such a nonlinear connection.

【 授权许可】

Unknown