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Parallelisability conditions for differentiable three-webs. (English) Zbl 0835.53019
Multidimensional 3-webs on a smooth $$2n$$-dimensional manifold are investigated by means of the projectors defined by the web. In terms of these projectors the canonical Chern connection is constructed on the web, and the parallelizability condition is formulated.

##### MSC:
 53A60 Differential geometry of webs
##### Keywords:
3-webs; Chern connection; parallelizability condition
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