Geodesic
Hypercomplexes of two-dimensional planes in projective space $P_6$
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2009), pp. 17-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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A complete classification for hypercomplexes of two-dimensional planes in the sixdimensional projective space has been obtained in the first differential neighborhood and partially in the second neighborhood of the of hypercomplex’s element by use of properties of the main local correspondences connected with the element. For instance, there exist twelve classes of special hypercomplexes.
Keywords: moving frame, projective space, local properties, hypercomplex of two-dimensional planes. 
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A. G. Mizin. Hypercomplexes of two-dimensional planes in projective space $P_6$. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2009), pp. 17-26. http://geodesic.mathdoc.fr/item/VTGU_2009_1_a2/

[1] Kruglyakov L.Z., Mizin A.G., “Klassifikatsiya i stroenie giperkompleksov mnogomernykh ploskostei”, Geom. sb., 23, Tomsk, 1982, 39–42

[2] Gerbsommer L.E., Kruglyakov L.Z., Mizin A.G., “O kompleksakh mnogomernykh ploskostei”, DAN SSSR, 255:5 (1980), 1039–1042 | MR | Zbl

[3] Mizin A.G., Dostovalova S.G., “Struktura dopustimykh giperkompleksov dvumernykh ploskostei pyatimernogo proektivnogo prostranstva”, Vsesibir. chteniya po matem. i mekh., Tez. dokl., Tomskii gosuniversitet, Tomsk, 1997, 99