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(Semi-)Riemannian geometry of (para-)octonionic projective planes

Rowena Held·Iva Stavrov·Brian VanKoten
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Abstract

We use reduced homogeneous coordinates to study Riemannian geometry of the octonionic (or Cayley) projective plane. Our method extends to the para-octonionic (or split octonionic) projective plane, the octonionic projective plane of indefinite signature, and the hyperbolic dual of the octonionic projective plane; we discuss these manifolds in the later sections of the paper.

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Rowena Held, Iva Stavrov, Brian VanKoten. 2007-02-22. (Semi-)Riemannian geometry of (para-)octonionic projective planes. https://arxiv.org/abs/math/0702631

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