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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeApr 13th 2019

for ease of reference

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeApr 29th 2019
• (edited Apr 29th 2019)

The entry used to say (and still says)

According to ABF 17 the statement is originally due to to

T. Fukami, S. Ishihara, Almost Hermitian structure on $S^6$, Tohoku Math J. 7 (1955), 151–156 (doi:10.2748/tmj/1178245052)

According to

• Alfred Gray, Paul S. Green, p. 2 of Sphere transitive structures and the triality automorphism, Pacific J. Math. Volume 34, Number 1 (1970), 83-96 (euclid:1102976640)

the statement is originally due to

• Deane Montgomery, Hans Samelson, Transformation Groups of Spheres, Annals of Mathematics Second Series, Vol. 44, No. 3 (Jul., 1943), pp. 454-470 (jstor:1968975)

But looking through it, it’s maybe not so easy to decide.