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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 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
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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.
Received February 1, 2009, published February 17, 2009
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 58A10, 58A15, 70G45
Language: English
Citation: A. Dzhumadil'daev, “Torsion and curvature for the $6$-commutator”, Sib. Èlektron. Mat. Izv., 6 (2009), 49–52
Citation in format AMSBIB
\Bibitem{Dzh09}
\by A.~Dzhumadil'daev
\paper Torsion and curvature for the $6$-commutator
\jour Sib. \`Elektron. Mat. Izv.
\yr 2009
\vol 6
\pages 49--52
\mathnet{http://mi.mathnet.ru/semr56}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586679}
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