Clifford systems in octonionic geometry
Preprint
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.Keywords
All Related Versions
This publication has 7 references indexed in Scilit:
- Clifford algebras and new singular Riemannian foliations in spheresGeometric and Functional Analysis, 2014
- Spin(9) geometry of the octonionic Hopf fibrationTransformation Groups, 2013
- Spheres with more than 7 vector fields: All the fault of Spin(9)Linear Algebra and its Applications, 2013
- Clifford structures on Riemannian manifoldsAdvances in Mathematics, 2011
- Spin(9) and almost complex structures on 16-dimensional manifoldsAnnals of Global Analysis and Geometry, 2011
- The Chow ring of the Cayley planeCompositio Mathematica, 2004
- Clifford systems, algebraically constant second fundamental form and isoparametric hypersurfacesmanuscripta mathematica, 1998