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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2015, Volume 15, Issue 4, Pages 43–49
DOI: https://doi.org/10.17377/PAM.2015.15.405 (Mi vngu384) 		 
Cayley structures on $S^6$ as a twistor bundle sections

N. A. Daurtseva

Kemerovo State University
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DOI: https://doi.org/10.17377/PAM.2015.15.405
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-4382.2014.1
Received: 03.09.2015
English version:
Journal of Mathematical Sciences, 2017, Volume 221, Issue 6, Pages 808–814
DOI: https://doi.org/10.1007/s10958-017-3268-9
Document Type: Article
UDC: 514.76
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Dau15}
\by N.~A.~Daurtseva
\paper Cayley structures on $S^6$ as a twistor bundle sections
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2015
\vol 15
\issue 4
\pages 43--49
\mathnet{http://mi.mathnet.ru/vngu384}
\crossref{https://doi.org/10.17377/PAM.2015.15.405}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 221
\issue 6
\pages 808--814
\crossref{https://doi.org/10.1007/s10958-017-3268-9}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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