This paper contains a classification of all affine liftings of torsion-free linear connections on n-dimensional manifolds to any linear connections on Weil bundles under the condition that n ≥ 3.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-1-1,
author = {Jacek D\k ebecki},
title = {Affine liftings of torsion-free connections to Weil bundles},
journal = {Colloquium Mathematicae},
volume = {116},
year = {2009},
pages = {1-8},
zbl = {1166.58001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-1-1}
}
Jacek Dębecki. Affine liftings of torsion-free connections to Weil bundles. Colloquium Mathematicae, Tome 116 (2009) pp. 1-8. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-1-1/