The complex structure on the six dimensional sphere

Gabor Etesi

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arXiv · 1509.02300

The complex structure on the six dimensional sphere

Gabor Etesi

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Abstract

Proof of existence of a complex structure on the six-sphere, followed by an explicit computation of its underlying integrable almost complex tensor by the aid of inner automorphisms of the octonions, is exhibited. Both are elementary and self-contained however the size and complexity of the emerging almost complex tensor field on the six-sphere is perplexing.

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Gabor Etesi. 2015-09-08. The complex structure on the six dimensional sphere. https://arxiv.org/abs/1509.02300

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