Geodesic
The six-dimensional left Bol three-webs with general core
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 43-53

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We found the conditions, under which left three-webs have the general core. These conditions are applied to the finding of six-dimensional left three-webs with the same cores as have the webs, obtained by transformation of parastrophy from the well-known six-dimensional elastic three-webs $E_1$ and $E_2$.
Keywords: Bol three-web, core of Bol three-web, locally symmetric structure, elastic three-web, isotopy. 
@article{IVM_2014_10_a5,
     author = {A. A. Mikheeva and G. A. Tolstikhina},
     title = {The six-dimensional left {Bol} three-webs with general core},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {43--53},
     publisher = {mathdoc},
     number = {10},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_10_a5/}
}
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A. A. Mikheeva; G. A. Tolstikhina. The six-dimensional left Bol three-webs with general core. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 43-53. http://geodesic.mathdoc.fr/item/IVM_2014_10_a5/