On the construction of the linearization of a nonlinear connection
Differential Geometry
2019-11-15 v1 Mathematical Physics
math.MP
Abstract
The construction of a linear connection on a pullback bundle from a connection on a vector bundle is explained in terms of fiberwise linear approximation. This procedure clarifies the geometric meaning of the linearized connection as well as the associated parallel transport and curvature.
Keywords
Cite
@article{arxiv.1911.05773,
title = {On the construction of the linearization of a nonlinear connection},
author = {Eduardo Martínez},
journal= {arXiv preprint arXiv:1911.05773},
year = {2019}
}