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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2009, Volume 6, Pages 49–52
(Mi semr56)
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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.
Received February 1, 2009, published February 17, 2009
Citation:
A. Dzhumadil'daev, “Torsion and curvature for the $6$-commutator”, Sib. Èlektron. Mat. Izv., 6 (2009), 49–52
Linking options:
https://www.mathnet.ru/eng/semr56 https://www.mathnet.ru/eng/semr/v6/p49
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Abstract page: | 254 | Full-text PDF : | 88 | References: | 49 |
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