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On six-dimensional \(G_1\)-submanifolds of Cayley algebra. (English) Zbl 1059.53045

The classification of the almost Hermitian structures has been done by A. Gray and L. M. Hervella [Ann. Mat. Pura Appl., IV. Ser. 123, 35–58 (1980; Zbl 0444.53032)]. With the terminology of the above paper, the author proves that 6-dimensional \(G_1\)-submanifolds of the octave algebra are \(W+W\)-manifolds. Some interesting corollaries follow the main result. This article has been also published in Taiwanese J. Math. 6, No. 3, 383–388 (2002; Zbl 1030.53061).

MSC:

53C40 Global submanifolds
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References:

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