Geodesic
Three-webs with covariantly constant curvature and torsion tensors
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 1, pp. 121-133

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In this paper, we study a special class of multidimensional 3-webs with covariantly constant curvature and torsion tensors. In the first part, we prove that 3-webs of the class belong to $G$-webs, i.e., there is a subfamily of adapted frames whose components of curvature and torsion tensors are constant. The structure of homogeneous space $G/H$ carrying the 3-web is described. Structure equations of $G$-group are found. In the second part, we have found structure equations of $W^\nabla$-web and finite equations of some special web classes. 
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     author = {L. M. Pidzhakova},
     title = {Three-webs with covariantly constant curvature and torsion tensors},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     publisher = {mathdoc},
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     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_1_a9/}
}
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L. M. Pidzhakova. Three-webs with covariantly constant curvature and torsion tensors. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 1, pp. 121-133. http://geodesic.mathdoc.fr/item/FPM_2010_16_1_a9/