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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.], 2012, Issue 2, Pages 99–114 (Mi vtpmk217)

Differential Geometry

About left Bol three-webs with trivial core

G. D. Gegamyn, G. A. Tolstikhina

Tver State University, Tver

Abstract: Structural equations of Bol three-web are found the core of which is trivial (isotopic to Abelian group). We prove the existence of non parallelizable group three-webs with trivial core.

Keywords: Bol three-web, core of Bol 3-web, locally symmetric space, group three-web, locally flat structure.

UDC: 514.7

Received: 05.02.2012
Revised: 17.04.2012



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