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Weak holonomy groups. (English) Zbl 0222.53043


MSC:

53C20 Global Riemannian geometry, including pinching
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References:

[1] Alekseevskij, D. V.: On holonomy groups of Riemannian manifolds. Ukrain. Math. ?urn.19, 100-104 (1967).
[2] Ambrose, W., Singer, I. M.: A theorem on holonomy. Trans. Amer. Math. Soc.75, 428-433 (1953). · Zbl 0052.18002 · doi:10.1090/S0002-9947-1953-0063739-1
[3] Berger, M.: Sur les groupes d’holonomie homogène des variétés à connexion affine et des variétés riemanniens. Bull. Soc. Math. France83, 279-330 (1955). · Zbl 0068.36002
[4] Berger, M.: Sur les variétés d’Einstein compactes. C.R. IIIe Reunion Math. Expression Latine, Namur (1965), 35-55.
[5] ?: Trois remarques sur les variétés riemannienes à courbure positive. C.R. Acad. Sci. Paris263, 76-78 (1966). · Zbl 0143.45001
[6] Bonan, E.: Sur des variétés riemanniennes à groupe d’holonomieG 2 ou Spin (7). C.R. Acad. Sci. Paris262, 127-129 (1966). · Zbl 0134.39402
[7] Gray, A.: A note on Riemannian manifolds with holonomy group Sp(n){\(\cdot\)}Sp(1). Michigan Math. J.16, 125-128 (1969). · Zbl 0177.50001 · doi:10.1307/mmj/1029000212
[8] ?: Vector cross products on manifolds. Trans. Amer. Math. Soc.141, 465-504 (1969). · Zbl 0182.24603 · doi:10.1090/S0002-9947-1969-0243469-5
[9] ?: Nearly Kähler manifolds. J. Differential Geometry4, 283-310 (1970). · Zbl 0201.54401
[10] ?, Green, P.: Sphere transitive structures and the triality automorphism. Pacific. J. Math.34, 83-96 (1970). · Zbl 0194.22804
[11] Montgomery, D., Samelson, H.: Transformation groups of spheres. Ann. of Math.44, 454-470 (1943). · Zbl 0063.04077 · doi:10.2307/1968975
[12] Simons, J.: On transitivity of holonomy systems. Ann. of Math.76, 213-234 (1962). · Zbl 0106.15201 · doi:10.2307/1970273
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