Cayley structures on $S^6$ as a twistor bundle sections
Differential Geometry
2015-10-19 v1
Abstract
The nearly K\"{a}hler structures on the 6-sphere, as a twistor bundle sections are researched. We show that for any point of twistor bundle there exists an 1-parametric family of sections, passing through the point, which give nearly K\"{a}hler structures on the round sphere. Some properties of those sections are found.
Keywords
Cite
@article{arxiv.1510.04888,
title = {Cayley structures on $S^6$ as a twistor bundle sections},
author = {N. A. Daurtseva},
journal= {arXiv preprint arXiv:1510.04888},
year = {2015}
}