[For the entire collection see Zbl 0699.00032.] In a previous paper [Cas. Pestovani Mat. 115, No.4, 360-367 (1990)] the author determined the set of the vector fields on TM by which connections on TM can be constructed. In this paper, he generalizes some of such constructions to the case of vector fields on fibred manifolds, giving several examples.
@article{701459,
title = {Vector fields and connection on fibred manifolds},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1990},
pages = {[25]-34},
mrnumber = {MR1061786},
zbl = {0716.53030},
url = {http://dml.mathdoc.fr/item/701459}
}
Dekrét, Anton. Vector fields and connection on fibred manifolds, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1990), pp. [25]-34. http://gdmltest.u-ga.fr/item/701459/