Geodesic
On one class of three-webs with covariantly constant curvature and torsion tensors
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 85-91

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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. 
@article{FPM_2010_16_2_a8,
     author = {L. M. Pidzhakova},
     title = {On one class of three-webs with covariantly constant curvature and torsion tensors},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {85--91},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a8/}
}
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L. M. Pidzhakova. On one class of three-webs with covariantly constant curvature and torsion tensors. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 85-91. http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a8/