G. A. Tolstikhina, A. M. Shelekhov, “On the three-web associated to the core of a left Bol three-web”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, Number 12,Pages <nobr>83

This article is cited in 3 papers

On the three-web associated to the core of a left Bol three-web

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

^a Chair of Mathematics and Primary Education, Tver State University, 33 Zhelyabov str., Tver, 170100 Russia
^b Chair of Functional Analysis and Geometry, Tver State University, 33 Zhelyabov str., Tver, 170100 Russia

Abstract: Let $B_\ell$ be a left Bol three-web given on $2r$-dimensional smooth manifold, let $CB_\ell$ be the left Bol three-web, associated to the core of $3$-web $B_\ell$, let $CCB_\ell$ be the left Bol three-web, associated to the core of $3$-web $CB_\ell$. We prove that the three-webs $CB_\ell$ and $CCB_\ell$ are equivalent.

Keywords: Bol three-web, core of Bol three-web.

UDC: 514.763

Received: 20.05.2013