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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 5, Pages 25–35
(Mi ivm8795)
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This article is cited in 4 scientific papers (total in 4 papers)
The left Bol three-webs with the $IC$-property
G. A. Tolstikhinaa, A. M. Shelekhovb a Chair of Mathematics and Primary Education, Tver State University, Tver, Russia
b Chair of Functional Analysis and Geometry, Tver State University, Tver, Russia
Abstract:
We say that a left Bol three-web $B_\ell$ has the $IC$-property if its coordinate quasigroup is isotopic to the core of this web. In this paper we describe some properties of the submanifold $V$ realizing this isotopy.
Keywords:
Bol three-web, core of Bol three-web, $IC$-property of Bol three-web, Chern connection, locally symmetric affine connection.
Received: 24.03.2012
Citation:
G. A. Tolstikhina, A. M. Shelekhov, “The left Bol three-webs with the $IC$-property”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 5, 25–35; Russian Math. (Iz. VUZ), 57:5 (2013), 20–28
Linking options:
https://www.mathnet.ru/eng/ivm8795 https://www.mathnet.ru/eng/ivm/y2013/i5/p25
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