Special Riemannian geometries and the Magic Square of Lie algebras

Details Special Riemannian geometries and the Magic Square of Lie algebras Special Riemannian geometries and the Magic Square of Lie algebras

2008-10-12

arxiv.org/abs/0810.2138v1

Mathematics

Differential Geometry

101 pages, a revised version of M.Sc. thesis presented at Warsaw University

Scientific paper

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.

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