Geodesic
Parallelisability conditions for differentiable three-webs
Archivum mathematicum, Tome 31 (1995) no. 1, pp. 75-84

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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.
Classification : 53A60
Keywords: distribution; projector; manifold; three-web; regular (parallelisable) web 
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     author = {Van\v{z}urov\'a, Alena},
     title = {Parallelisability conditions for differentiable three-webs},
     journal = {Archivum mathematicum},
     pages = {75--84},
     publisher = {mathdoc},
     volume = {31},
     number = {1},
     year = {1995},
     mrnumber = {1342378},
     zbl = {0835.53019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1995__31_1_a8/}
}
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Vanžurová, Alena. Parallelisability conditions for differentiable three-webs. Archivum mathematicum, Tome 31 (1995) no. 1, pp. 75-84. http://geodesic.mathdoc.fr/item/ARM_1995__31_1_a8/