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Transactions of the American Mathematical Society

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A theorem on holonomy


Authors: W. Ambrose and I. M. Singer
Journal: Trans. Amer. Math. Soc. 75 (1953), 428-443
MSC: Primary 53.0X
DOI: https://doi.org/10.1090/S0002-9947-1953-0063739-1
MathSciNet review: 0063739
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  • [1] A. Borel and A. Lichnerowicz, Groupes d'holonomie des variétés riemannienes, C.R. Acad Sci. Paris vol. 234 (1952) pp. 1835-1837. MR 0048133 (13:986b)
  • [2] E. Cartan, Les groupes d'holonomie des espaces généralises, Acta Math. vol. 48, pp. 1-42.
  • [3] H. Cartan, Notions d'algebre differentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie, Colloque de topologie, Bruxelles, 1950, pp. 15-27. MR 0042426 (13:107e)
  • [4] -, La transgression dans un groupe de Lie et dans un espace fibre principal, Colloque de topologie, Bruxelles, 1950, pp. 57-71. MR 0042427 (13:107f)
  • [5] S. S. Chern, Notes on differential geometry, Institute for Advanced Study notes, 1951.
  • [6] C. Chevalley, Lie groups, Princeton University Press, 1946.
  • [7] C. Ehresmann, Les connexions infinitesimales dans un espace fibre différentiable, Colloque de topologie, Bruxelles, 1950, pp. 29-55. MR 0042768 (13:159e)
  • [8] H. Yamabe, On an arcwise connected subgroup of a Lie group, Osaka Math. J. vol. 2 (1950) pp. 13, 14. MR 0036766 (12:158a)

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DOI: https://doi.org/10.1090/S0002-9947-1953-0063739-1
Article copyright: © Copyright 1953 American Mathematical Society

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