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arXiv · 2004.10457

Jacobi fields in nonholonomic mechanics

Alexandre Anahory Simoes·Juan Carlos Marrero·David Martin de Diego
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Abstract

In this paper, we define Jacobi fields for nonholonomic mechanics using a similar characterization than in Riemannian geometry. We give explicit conditions to find Jacobi fields and finally we find the nonholonomic Jacobi equations in two equivalent ways: the first one, using an appropriate complete lift of the nonholonomic system and, in the second one, using the curvature and torsion of the associated nonholonomic connection.

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Alexandre Anahory Simoes, Juan Carlos Marrero, David Martin de Diego. 2020-04-22. Jacobi fields in nonholonomic mechanics. https://arxiv.org/abs/2004.10457

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