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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.], 2007, Issue 5, Pages 39–45 (Mi vtpmk421)

Differential Geometry

Calculation of the torsion and curvature tensors of six-dimensional hexagonal three-webs $ H ^ 1_s $ and $ H ^ 2_s $

M. A. Shestakova

Tver State University, Tver

Abstract: It is proved that the components of the torsion tensor and curvature tensor to a three-web have only isotopical transform for the main isotopie. The torsion and curvature tensors to non- trivial six-dimensional webs $H_s$ are calculated.\end{quote}

Keywords: hexagonal three-web, isotopie, torsion tensor, curvature tensor, quasigroup, structure equations.

UDC: 514.763.7

Received: 10.04.2007
Revised: 08.06.2007



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