On some Grassmannians carrying an even Clifford structure

2018

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

On some Grassmannians carrying an even Clifford structure

01 Pubblicazione su rivista

Piccinni Paolo

DOI: 10.1016/j.difgeo.2018.04.007

ISSN: 0926-2245

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 rôle of the octonions in them, in particular for some low dimensional examples.

Computational Theory and Mathematics Even Clifford structure Geometry and Topology Grassmannian octonionic geometry