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Ambrose, W.; Singer, I. M.

A theorem on holonomy. (English) Zbl 0052.18002

Trans. Am. Math. Soc. 75, 428-443 (1953).
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Keywords:

Riemannian manifolds
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\textit{W. Ambrose} and \textit{I. M. Singer}, Trans. Am. Math. Soc. 75, 428--443 (1953; Zbl 0052.18002)
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References:

[1] Armand Borel and André Lichnerowicz, Groupes d’holonomie des variétés riemanniennes, C. R. Acad. Sci. Paris 234 (1952), 1835 – 1837 (French). · Zbl 0046.39801
[2] E. Cartan, Les groupes d’holonomie des espaces généralises, Acta Math. vol. 48, pp. 1-42. · JFM 52.0723.01
[3] Henri Cartan, Notions d’algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson et Cie., Paris, 1951, pp. 15 – 27 (French). · Zbl 0045.30601
[4] Henri Cartan, La transgression dans un groupe de Lie et dans un espace fibré principal, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson et Cie., Paris, 1951, pp. 57 – 71 (French). · Zbl 0045.30701
[5] S. S. Chern, Notes on differential geometry, Institute for Advanced Study notes, 1951.
[6] C. Chevalley, Lie groups, Princeton University Press, 1946. · Zbl 0063.00842
[7] Charles Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson et Cie., Paris, 1951, pp. 29 – 55 (French). · Zbl 0054.07201
[8] Hidehiko Yamabe, On an arcwise connected subgroup of a Lie group, Osaka Math. J. 2 (1950), 13 – 14. · Zbl 0039.02101
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