This article is cited in 1 paper

Eight-dimensional Bol webs with an almost zero curvature tensor

M. V. Antipova^a, A. M. Shelekhov<sup>b

a</sup> Moscow Pedagogical State University, Moscow, Russia
^b Tver State University, Tver, Russia

Abstract: Earlier V. I. Fedorova has described classes of six-dimensional Bol webs. Later M. V. Antipova studied multidimensional middle Bol webs with a single nonzero component of the curvature tensor generalizing the mentioned class. In this paper we consider eight-dimensional Bol webs with the same property of the curvature tensor. We show that there exist only two classes of such webs and obtain the corresponding equations.

Keywords: Bol three-web, Lie algebra.

UDC: 514.763

Received: 22.12.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:2, 1–12

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