G. A. Tolstikhina, A. M. Shelekhov, “The left Bol three-webs with the <nobr>$IC$</nobr>-property”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, Number 5,Pages <nobr>25

This article is cited in 4 papers

The left Bol three-webs with the $IC$-property

G. A. Tolstikhina^a, A. M. Shelekhov^b

^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.

UDC: 514.763

Received: 24.03.2012