Cayley Structures on S6 as Sections if Twistor Bundle


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Abstract

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.

About the authors

N. A. Daurtseva

Kemerovo State University

Author for correspondence.
Email: natali0112@ngs.ru
Russian Federation, 6, Krasnaya St., Kemerovo, 650043

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