A. A. Mikheeva, G. A. Tolstikhina, “The six-dimensional left Bol three-webs with general core”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, Number 10,Pages <nobr>43

This article is cited in 1 paper

The six-dimensional left Bol three-webs with general core

A. A. Mikheeva^a, G. A. Tolstikhina^b

^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.

UDC: 514.763

Received: 14.04.2013