Special Riemannian geometries and the Magic Square of Lie algebras

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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

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/171353

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.2138
 http://arxiv.org/abs/0810.2138

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arXiv