Geodesic
Homogeneous locally symmetric regions in homogeneous spaces associated with semisimple Jordan algebras
Sbornik. Mathematics, Tome 11 (1970) no. 3, pp. 377-389 Cet article a éte moissonné depuis la source Math-Net.Ru

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The search for such regions is equivalent to the search for certain subalgebras in the Lie algebra of the group of transformations of a homogeneous space. The latter problem is solved for homogeneous spaces compared in a definite way with semisimple Jordan algebras. By a sequence of reductions, the problem is reduced to finding certain linear mappings of the Jordan algebra into itself. Conditions characterizing these mappings are obtained. Geometric consequences are given. Bibliography: 10 titles. 
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A. A. Rivilis. Homogeneous locally symmetric regions in homogeneous spaces associated with semisimple Jordan algebras. Sbornik. Mathematics, Tome 11 (1970) no. 3, pp. 377-389. http://geodesic.mathdoc.fr/item/SM_1970_11_3_a5/

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