This article is cited in 1 paper

On one class of three-webs with covariantly constant curvature and torsion tensors

L. M. Pidzhakova

Tver State Technical University

Abstract: A special class of multidimensional three-webs $W^\nabla$ with covariantly constant curvature and torsion tensors is considered, the curvature tensor having the minimal rank. It is proved that there is a subfamily of adapted frames of the web $W^\nabla$ whose torsion tensor components are constant and the curvature tensor has a unique nonzero component. The structure equations of the webs of this class are found and some of their properties are described.

UDC: 514.763

 English version: Journal of Mathematical Sciences (New York), 2011, 177:5, 705–709

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