Symmetric spaces of corank~1
Sbornik. Mathematics, Tome 25 (1975) no. 1, pp. 129-144

Voir la notice de l'article provenant de la source Math-Net.Ru

A global classification is given of the symmetric spaces $M$ admitting a flat, totally geodesic submanifold of dimension $\dim M-1$. Bibliography: 6 titles.
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V. V. Astrakhantsev. Symmetric spaces of corank~1. Sbornik. Mathematics, Tome 25 (1975) no. 1, pp. 129-144. http://geodesic.mathdoc.fr/item/SM_1975_25_1_a7/