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

Held, Rowena; Stavrov, Iva; VanKoten, Brian

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

Authors

Held, Rowena

Stavrov, Iva

VanKoten, Brian

Description

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.
29 pages