A Special Nonlinear Connection in Second Order Geometry

Details A Special Nonlinear Connection in Second Order Geometry A Special Nonlinear Connection in Second Order Geometry

2007-06-29

arxiv.org/abs/0706.4362v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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