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53-XX Differential geometry
53Axx Classical differential geometry
53A60 Geometry of webs

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Parallelisability conditions for differentiable three-webs.

Vanžurová, Alena (1995)

Archivum Mathematicum

Parallelisability conditions for differentiable three-webs

Alena Vanžurová (1995)

Archivum Mathematicum

Our aim is to find conditions under which a 3-web on a smooth $2 n$ -dimensional manifold is locally equivalent with a web formed by three systems of parallel $n$ -planes in $R^{2 n}$ . 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.

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