Geodesic
Parallelisability conditions for differentiable three-webs
Archivum mathematicum, Tome 31 (1995) no. 1, pp. 75-84 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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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/

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