A non-holonomic 3-web is defined by two operators and such that is a projector, is involutory, and they are connected via the relation . The so-called parallelizing connection with respect to which the 3-web distributions are parallel is defined. Some simple properties of such connections are found.
@article{701607,
title = {Connections for non-holonomic 3-webs},
booktitle = {Proceedings of the 16th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1997},
pages = {[169]-176},
mrnumber = {MR1469034},
zbl = {0891.53010},
url = {http://dml.mathdoc.fr/item/701607}
}
Vanžurová, Alena. Connections for non-holonomic 3-webs, dans Proceedings of the 16th Winter School "Geometry and Physics", GDML_Books, (1997), pp. [169]-176. http://gdmltest.u-ga.fr/item/701607/