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arXiv · 0706.4362

A Special Nonlinear Connection in Second Order Geometry

Nicoleta Brinzei
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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.

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Nicoleta Brinzei. 2007-06-29. A Special Nonlinear Connection in Second Order Geometry. https://arxiv.org/abs/0706.4362

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