Linearization of nonlinear connections on vector and affine bundles, and some applications
arXiv:1711.06923 · doi:10.1088/1751-8121/aa9f71
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.