Jacobi fields in nonholonomic mechanics
Differential Geometry
2020-08-13 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2004.10457,
title = {Jacobi fields in nonholonomic mechanics},
author = {Alexandre Anahory Simoes and Juan Carlos Marrero and David Martin de Diego},
journal= {arXiv preprint arXiv:2004.10457},
year = {2020}
}
Comments
64 pages