Clifford systems in octonionic geometry
Differential Geometry
2016-09-13 v3
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
Cite
@article{arxiv.1511.06239,
title = {Clifford systems in octonionic geometry},
author = {Maurizio Parton and Paolo Piccinni and Victor Vuletescu},
journal= {arXiv preprint arXiv:1511.06239},
year = {2016}
}
Comments
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