RUS  ENG
Full version
JOURNALS // Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics] // Archive

Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2011, Issue 21, Pages 117–134 (Mi vtpmk258)

This article is cited in 5 papers

Differential Geometry

Generalized left bol 3-web Bl(ρ, r, r) as factor-web of a left bol 3-web Bl(r, r, r)

G. A. Tolstikhina

Tver State University, Tver

Abstract: Generalized left Bol 3-web $B_{l}(\rho,r,r)$ defined by action of an $r$-dimensional local smooth Bol quasigroup on $\rho$-dimensional manifold is considered. The following statement is proved: the Bol 3-web $B_{l}(\rho,r,r)$ can be realized as factor-web of a left Bol 3-web $B_{l}(r,r,r)$ which is formed by 3 $r$-dimensional foliations and its core coincides with the core of the given 3-web $B_{l}(\rho,r,r)$.

Keywords: Bol three-web, Bol quasigroup, factor-web, core of Bol 3-web.

UDC: 514.7

Received: 10.06.2011
Revised: 15.06.2011



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025