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

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

2007-02-22

arxiv.org/abs/math/0702631v1

Mathematics

Differential Geometry

29 pages

Scientific paper

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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