Clifford systems in octonionic geometry

Abstract

We give an inductive construction for irreducible Clifford systems on Euclidean vector spaces. We then discuss how this notion can be adapted to Riemannian manifolds, and outline some developments in octonionic geometry.

Added the new Paragraph 3. Proofs of Theorems 6.2 e 8.1 have been simplified. To be published in Rend. Sem. Mat. Torino, volume in memory of Sergio Console

Cited by in corpus (2)

• Local Geometry of Even Clifford Structures on Conformal Manifolds
• Spinorially Twisted Spin Structures. II: Twisted Pure Spinors, Special Riemannian Holonomy and Clifford Monopoles