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 tangent bundle. In particular, Jacobi equations in Finsler and Riemann spaces determine such a nonlinear connection.
Keywords: nonlinear connection, 2-tangent bundle, Finsler space, Jacobi equations
Classification (MSC2000): 53B40; 70H50
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