For a three-web of codimension on a differentiable manifold of dimension , the author studies the Chern connection and a family of parallelizing connections. The latter ones have a common property with the former: the web-distributions are parallel with respect to them.
@article{701589, title = {Special connections on smooth 3-web manifolds}, booktitle = {Proceedings of the 15th Winter School "Geometry and Physics"}, series = {GDML\_Books}, publisher = {Circolo Matematico di Palermo}, address = {Palermo}, year = {1996}, pages = {[217]-228}, mrnumber = {MR1463524}, zbl = {0913.53007}, url = {http://dml.mathdoc.fr/item/701589} }
Vanžurová, Alena. Special connections on smooth 3-web manifolds, dans Proceedings of the 15th Winter School "Geometry and Physics", GDML_Books, (1996), pp. [217]-228. http://gdmltest.u-ga.fr/item/701589/