The torsions of a general connection on the th-order tangent bundle of a manifold are defined as the Frölicher-Nijenhuis bracket of with the natural affinors. The author deduces the basic properties of these torsions. Then he compares them with the classical torsion of a principal connection on the th-order frame bundle of .
@article{701616,
title = {Torsions of connections on tangent bundles of higher order},
booktitle = {Proceedings of the 17th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1998},
pages = {[65]-73},
mrnumber = {MR1662727},
zbl = {0938.53013},
url = {http://dml.mathdoc.fr/item/701616}
}
Kureš, Miroslav. Torsions of connections on tangent bundles of higher order, dans Proceedings of the 17th Winter School "Geometry and Physics", GDML_Books, (1998), pp. [65]-73. http://gdmltest.u-ga.fr/item/701616/