Special Riemannian geometries and the Magic Square of Lie algebras
arXiv:0810.2138
Abstract
We investigate nonintegrable Riemannian geometries modelled after certain symmetric spaces related to the Freudenthal-Tits Magic Square. The collection of four such structures found by Nurowski is extended by further eight. A focus is given to those admitting a compatible connection with completely skew torsion.
101 pages, a revised version of M.Sc. thesis presented at Warsaw University