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
L. M. Pidzhakova
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A special class of multidimensional three-webs 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 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.
Last modified: April 5, 2011