We consider nearly Kähler structures on a 6-dimensional sphere as sections of the twistor bundle over the sphere and prove that for any point of the space of twistor bundle there is a one-parameter family of nearly Kähler structures passing through the point. We study some properties of such one-parameter families.
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 15, No. 4, 2015, pp. 43-49.
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Daurtseva, N.A. Cayley Structures on S 6 as Sections if Twistor Bundle. J Math Sci 221, 808–814 (2017). https://doi.org/10.1007/s10958-017-3268-9
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DOI: https://doi.org/10.1007/s10958-017-3268-9