Geometry of symmetric spaces of type EVI

Andrei V. Semenov; Victor A. Petrov

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Geometry of symmetric spaces of type EVI

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arxiv 2208.13730 v1 pith:IGJBPNME submitted 2022-08-29 math.GR

Geometry of symmetric spaces of type EVI

Victor A. Petrov , Andrei V. Semenov This is my paper

classification math.GR

keywords geometryspacessymmetrictypealgebrasarbitraryatsuyamabalanced

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We generalize Atsuyama's result on the geometry of symmetric spaces of type EVI to the case of arbitrary field of characteristic zero. We relate the possible mutual positions of two points with the classification of balanced symplectic ternary algebras (also known as Freudenthal triple systems).

Geometry of symmetric spaces of type EVI

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