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→Quaternionic projective line: Explicit expressions for coordinates for the 4-sphere can be found in the article on the Fubini–Study metric. |
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===Quaternionic projective line===
The one-dimensional projective space over <math>\H</math> is called the "projective line" in generalization of the [[complex projective line]]. For example, it was used (implicitly) in 1947 by P. G. Gormley to extend the [[Möbius group]] to the quaternion context with
From the topological point of view the quaternionic projective line is the 4-sphere, and in fact these are [[diffeomorphic]] manifolds. The fibration mentioned previously is from the 7-sphere, and is an example of a [[Hopf fibration]].
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