N. A. Daurtseva, “Cayley structures on <nobr>$S^6$</nobr> as a twistor bundle sections”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2015, Volume 15, Issue 4,Pages <nobr>43

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.

UDC: 514.76

Received: 03.09.2015

DOI: 10.17377/PAM.2015.15.405