Special Riemannian geometries and the Magic Square of Lie algebras
classification
🧮 math.DG
keywords
geometriesmagicriemanniansquareadmittingalgebrascertaincollection
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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.
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