FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 2, PAGES 85-91

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

L. M. Pidzhakova

Abstract

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A special class of multidimensional three-webs $W$Ñ 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 $W$Ñ 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.

Location: http://mech.math.msu.su/~fpm/eng/k10/k102/k10209h.htm

Last modified: April 5, 2011