A Special Nonlinear Connection in Second Order Geometry

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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.
13 pages

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Differential Geometry, Mathematical Physics, 53B40; 70H50

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http://salesiana.dossiersoluciones.com/handle/123456789/132685

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.4362
 http://arxiv.org/abs/0706.4362

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arXiv