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

[1] M. Cahen, N. Wallach, “Lorentzian symmetric spaces”, Bull. Amer. Math. Soc., 76:3 (1970), 585–691 | DOI | MR

[2] V. V. Astrakhantsev, “Psevdorimanovy simmetricheskie prostranstva s kommutativnoi gruppoi golonomii”, Matem. sb., 90 (132) (1973), 288–305 | Zbl

[3] H. Wu, “On the de Rham decomposition theorem”, Illinois J. Math., 8:2 (1964), 291–311 | MR | Zbl

[4] A. Z. Petrov, “K teoreme o glavnykh osyakh tenzora”, Izv. Kaz. fiz.-matem. ob-va, 14:3 (1949), 37–51

[5] S. Khelgason, Differentsialnaya geometriya i simmetricheskie prostranstva, izd-vo «Mir», Moskva, 1964

[6] H. Wu, “Holonomy groups of indefinite metrics”, Pasific J. Math., 20:2 (1967), 351–392 | MR | Zbl