Linearization of nonlinear connections on vector and affine bundles, and some applications
Differential Geometry
2018-02-14 v1 Mathematical Physics
math.MP
Abstract
A linear connection is associated to a nonlinear connection on a vector bundle by a linearization procedure. Our definition is intrinsic in terms of vector fields on the bundle. For a connection on an affine bundle our procedure can be applied after homogenization and restriction. Several applications in Classical Mechanics are provided.
Keywords
Cite
@article{arxiv.1711.06923,
title = {Linearization of nonlinear connections on vector and affine bundles, and some applications},
author = {Eduardo Martínez},
journal= {arXiv preprint arXiv:1711.06923},
year = {2018}
}