Geodesic
Bol three-webs with covariant constant curvature tensor
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 82-92

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We find complete system of tensor relations characterizing the class of multidimensional middle Bol three-webs with covariant constant curvature tensor and ascertain the algebraic sense of these relations. We prove the existence of such webs and lay the foundation of their classification in terms of torsion tensor rank. We show that $6$-dimensional non-group webs of such type are the known flexible webs $E_1$ and $E_2$.
Keywords: three-web, middle Bol three-web, flexible three-web, $W$-algebra, Chern connection of a three-web, commutator, holonomy algebra.
Mots-clés : associator 
@article{IVM_2016_3_a8,
     author = {A. M. Shelekhov and E. A. Onoprienko},
     title = {Bol three-webs with covariant constant curvature tensor},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {82--92},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_3_a8/}
}
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A. M. Shelekhov; E. A. Onoprienko. Bol three-webs with covariant constant curvature tensor. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 82-92. http://geodesic.mathdoc.fr/item/IVM_2016_3_a8/