I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2010, VOLUME 16, NUMBER 1, PAGES 121-133
Three-webs with covariantly constant curvature and torsion tensors
L. M. Pidzhakova
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In this paper, we study a special class of multidimensional
covariantly constant curvature and torsion tensors.
In the first part, we prove that -webs of the class belong
i.e., there is a subfamily of adapted frames whose components of
curvature and torsion tensors are constant.
The structure of homogeneous space carrying the
Structure equations of -group are found.
In the second part, we have found structure equations of -web and finite
equations of some special web classes.
Last modified: March 11, 2011