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/