Geodesic
Cayley structures on $S^6$ as a twistor bundle sections
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 4, pp. 43-49

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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. 
@article{VNGU_2015_15_4_a4,
     author = {N. A. Daurtseva},
     title = {Cayley structures on $S^6$ as a twistor bundle sections},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {43--49},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2015_15_4_a4/}
}
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N. A. Daurtseva. Cayley structures on $S^6$ as a twistor bundle sections. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 4, pp. 43-49. http://geodesic.mathdoc.fr/item/VNGU_2015_15_4_a4/