The complex structure on the six dimensional sphere

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.

18 pages, no figures, LaTeX; the previous erroneous claim that S^6 as a complex manifold embeds into G_2 as a complex manifold removed without effecting the proof; comments are welcome