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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 24, No. 1, pp. 33-49 (2008)
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A special nonlinear connection in second order geometry

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N. Brinzei

Transilvania University

**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

**Full text of the article:**

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