Our aim is to find conditions under which a 3-web on a smooth $2n$-dimensional manifold is locally equivalent with a web formed by three systems of parallel $n$-planes in ${R}^{2n}$. We will present here a new approach to this “classical” problem using projectors onto the distributions of tangent subspaces to the leaves of foliations forming the web.
@article{107527,
author = {Alena Van\v zurov\'a},
title = {Parallelisability conditions for differentiable three-webs},
journal = {Archivum Mathematicum},
volume = {031},
year = {1995},
pages = {75-84},
zbl = {0835.53019},
mrnumber = {1342378},
language = {en},
url = {http://dml.mathdoc.fr/item/107527}
}
Vanžurová, Alena. Parallelisability conditions for differentiable three-webs. Archivum Mathematicum, Tome 031 (1995) pp. 75-84. http://gdmltest.u-ga.fr/item/107527/
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