This paper contains a classification of all linear liftings of symmetric tensor fields of type (1,2) on n-dimensional manifolds to any tensor fields of type (1,2) on Weil bundles under the condition that n ≥ 3.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-1-2,
author = {Jacek D\k ebecki},
title = {Linear liftings of symmetric tensor fields of type (1,2) to Weil bundles},
journal = {Annales Polonici Mathematici},
volume = {92},
year = {2007},
pages = {13-27},
zbl = {1131.58004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-1-2}
}
Jacek Dębecki. Linear liftings of symmetric tensor fields of type (1,2) to Weil bundles. Annales Polonici Mathematici, Tome 92 (2007) pp. 13-27. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-1-2/