This article is cited in 1 paper

Differential Geometry

An application of the theory of multidimensional three-webs

M. V. Antipova

Moscow State Pedagogical University, Moscow

Abstract: The main results of the study of multidimensional middle Bol three-webs, in particular, the eightdimensional middle Bol webs, are given. We use Cartan-Laptev method, which allows us to write differential equations of arbitrary Bol web in a compact and invariant form.

Keywords: middle Bol three-web, Lie algebra, Bol algebra, torsion and curvature tensors of a three-web.

UDC: 514.763.7

Received: 22.09.2012
Revised: 20.11.2012

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