Geometric constructions of connections on the higher order principal prolongations of a principal bundle are considered. Moreover, the existing differences among connections on non-holonomic, semiholonomic and holonomic principal prolongations are discussed.
@article{702144, title = {Connections on higher order principal prolongations}, booktitle = {Proceedings of the 25th Winter School "Geometry and Physics"}, series = {GDML\_Books}, publisher = {Circolo Matematico di Palermo}, address = {Palermo}, year = {2006}, pages = {[183]-192}, mrnumber = {MR2287137}, zbl = {1118.53016}, url = {http://dml.mathdoc.fr/item/702144} }
Vašík, Petr. Connections on higher order principal prolongations, dans Proceedings of the 25th Winter School "Geometry and Physics", GDML_Books, (2006), pp. [183]-192. http://gdmltest.u-ga.fr/item/702144/