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/