Clifford systems in octonionic geometry

2015/11/19 by Maurizio Parton, Parton, Maurizio, Paolo Piccinni +3
Mathematics · #53C26 #53C27 #53C38 (Primary) #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1511.06239

openalex publication_date 2015/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Orthogonal nets and Clifford algebras
• Axially Symmetric Generalization of the Cauchy-Riemann System and Modified Clifford Analysis
• Clifford algebra and the projective model of Hyperbolic spaces
• Unified Octonionic Representation of the 10-13 Dimensions Clifford Algebra
• Octonions as Clifford-like algebras