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A note on six-dimensional \(G_1\)-submanifolds of the octave algebra. (English) Zbl 1030.53061
The author studies six-dimensional \(G_1\)-submanifolds of the Cayley algebra. He proves that these manifolds are of \(W_1\oplus W_3\)-class.

MSC:
53C40 Global submanifolds
53C10 \(G\)-structures
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