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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2009 Volume 6, Pages 49–52 (Mi semr56)
Short communications

Torsion and curvature for the $6$-commutator

A. Dzhumadil'daev

Institute of Mathematics, Almaty, Kazakhstan

Abstract: Torsion and curvature for $6$-commutator on $Vect(2)$ are calculated. It is proved that $6$-curvature ($6$-torsion) can be presented as a exterior product of usual curvature (usual torsion) by some $4$-form.

Keywords: $N$-commutator, torsion, curvature, Bianchi identities.

UDC: 517.958

MSC: 58A10, 58A15, 70G45

Received February 1, 2009, published February 17, 2009

Language: English



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