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• [3] Elie Cartan, Les groupes de transformations continus, infinis, simples, Ann. Sci. École Norm. Sup. (3) 26 (1909), 93–161 (French). MR 1509105
• [4] Hideyuki Iwamoto, On the structure of Riemannian spaces whose holonomy groups fix a null-system, Tôhoku Math. J. (2) 1 (1950), 109–135. MR 0039354, https://doi.org/10.2748/tmj/1178245728
• [5] Deane Montgomery and Hans Samelson, Transformation groups of spheres, Ann. of Math. (2) 44 (1943), 454–470. MR 0008817, https://doi.org/10.2307/1968975
• [6] Morio Obata, On 𝑛-dimensional homogeneous spaces of Lie groups of dimension greater than 𝑛(𝑛-1)/2, J. Math. Soc. Japan 7 (1955), 371–388. MR 0082718, https://doi.org/10.2969/jmsj/00740371
• [7] Shigeo Sasaki, On the influence of the topological structure of Riemannian manifolds upon their holonomy groups, Tôhoku Math. J. (2) 6 (1954), 135–148. MR 0068884, https://doi.org/10.2748/tmj/1178245172
• [8] Hsien-Chung Wang and Kentaro Yano, A class of affinely connected spaces, Trans. Amer. Math. Soc. 80 (1955), 72–92. MR 0073254, https://doi.org/10.1090/S0002-9947-1955-0073254-9

Bibliography

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M. Abe, Irreduzibilität und absolute Irreduzibilität des Matrizensystems, Proceedings of the Physico Mathematical Society of Japan vol. 24 (1942) pp. 769-789. MR 0015049 (7:361c)

[2]

É. Cartan, Sur la structure de groupes de transformations finis et continus, Thèse, Paris, 1894.

[3]

-, Les groupes de transformations continus, infinis, simples, Ann. École Norm. Sup. vol. 26 (1909) pp. 93-161. MR 1509105

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H. Iwamoto, On the structure of Riemannian spaces whose holonomy groups fix a null-system, Tôhoku Math. J. vol. 1 (1949) pp. 109-135. MR 0039354 (12:536b)

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D. Montgomery and H. Samelson, Transformation groups of spheres, Ann. of Math. vol. 44 (1943) pp. 454-470. MR 0008817 (5:60b)

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M. Obata, On -dimensional homogeneous spaces of Lie groups of dimension greater than , Journal of the Mathematical Society of Japan vol. 7 (1955) pp. 371-388. MR 0082718 (18:599c)

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S. Sasaki, On the influence of the topological structure of Riemannian manifolds upon their holonomy groups, Tôhoku Math. J. vol. 6 (1954) pp. 135-148. MR 0068884 (16:956a)

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H. C. Wang and K. Yano, A class of affinely connected spaces, Trans. Amer. Math. Soc. vol. 80 (1955) pp. 72-92. MR 0073254 (17:407d)