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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 10, Pages 43–53
(Mi ivm8940)
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This article is cited in 1 scientific paper (total in 1 paper)
The six-dimensional left Bol three-webs with general core
A. A. Mikheevaa, G. A. Tolstikhinab a Chair of Functional Analysis and Geometry, Tver State University,
33 Zhelyabov str., Tver, 170100 Russia
b Chair of Mathematics and Primary Education Principles, Tver State University, 33 Zhelyabov str., Tver, 170100 Russia
Abstract:
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.
Received: 14.04.2013
Citation:
A. A. Mikheeva, G. A. Tolstikhina, “The six-dimensional left Bol three-webs with general core”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 10, 43–53; Russian Math. (Iz. VUZ), 58:10 (2014), 36–45
Linking options:
https://www.mathnet.ru/eng/ivm8940 https://www.mathnet.ru/eng/ivm/y2014/i10/p43
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