The Berwald-type linearisation of generalised connections
Differential Geometry
2009-11-10 v1 Mathematical Physics
math.MP
Abstract
We study the existence of a natural `linearisation' process for generalised connections on an affine bundle. It is shown that this leads to an affine generalised connection over a prolonged bundle, which is the analogue of what is called a connection of Berwald type in the standard theory of connections. Various new insights are being obtained in the fine structure of affine bundles over an anchored vector bundle and affineness of generalised connections on such bundles.
Cite
@article{arxiv.math/0304221,
title = {The Berwald-type linearisation of generalised connections},
author = {Tom Mestdag and Willy Sarlet},
journal= {arXiv preprint arXiv:math/0304221},
year = {2009}
}
Comments
25 pages