On some Grassmannians carrying an even Clifford structure
Differential Geometry
2019-07-25 v1
Abstract
We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the r\^ole of the octonions in them, in particular for some low dimensional examples.
Keywords
Cite
@article{arxiv.1805.01751,
title = {On some Grassmannians carrying an even Clifford structure},
author = {Paolo Piccinni},
journal= {arXiv preprint arXiv:1805.01751},
year = {2019}
}