Geodesic
Pseudo-Riemannian symmetric spaces with a commutative holonomy group
Sbornik. Mathematics, Tome 19 (1973) no. 2, pp. 287-304 
V. V. Astrakhantsev. Pseudo-Riemannian symmetric spaces with a commutative holonomy group. Sbornik. Mathematics, Tome 19 (1973) no. 2, pp. 287-304. http://geodesic.mathdoc.fr/item/SM_1973_19_2_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The simply connected pseudo-Riemannian symmetric spaces of signature $(n-1,1)$ with a commutative holonomy group are classified and studied. Bibliography: 9 titles.

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

[2] M. Cahen, N. Wallach, “Lorentzian symmetric spaces”, Bull. Amer. Math. Soc., 76:3 (1970), 585–591 | DOI | MR | Zbl

[3] M. Cahen, M. Parker, “Sur les classes d'espaces pseudo-riemanniens symmetriques”, Bull. Soc. Math. Belgique, 22:4 (1970), 339–354 | MR | Zbl

[4] M. Berger, “Les espaces symmetriques noncompact”, Ann. Ecole Norm. Super, 74 (1957), 85–177 | MR

[5] J. Simons, “On transitivity of holonomy systems”, Ann. Math., 76 (1962), 213–234 | DOI | MR | Zbl

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

[7] B. N. Kimmelfeld, “Odnorodnye oblasti na konformnoi sfere”, Matem. zametki, 8:3 (1970), 321–328

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

[9] M. M. Postnikov, Vvedenie v teoriyu Morsa, izd-vo «Nauka», Moskva, 1971 | MR