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Cayley structures on $S^6$ as a twistor bundle sections
N. A. Daurtseva Kemerovo State University
Abstract:
The nearly Kähler structures on the $6$-sphere, as a twistor bundle sections are researched. We show tat for any point of the twistor bundle there exists a $1$-parametric family of sections which give nearly Kähler structures on the round $6$-sphere and pass through the point. Some properties of those sections are found.
Keywords:
Cayley structures, nearly Kähler structure, twistor bundle.
Received: 03.09.2015
Citation:
N. A. Daurtseva, “Cayley structures on $S^6$ as a twistor bundle sections”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:4 (2015), 43–49; J. Math. Sci., 221:6 (2017), 808–814
Linking options:
https://www.mathnet.ru/eng/vngu384 https://www.mathnet.ru/eng/vngu/v15/i4/p43
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Abstract page: | 128 | Full-text PDF : | 46 | References: | 37 | First page: | 3 |
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