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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A theorem on holonomy
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by W. Ambrose and I. M. Singer PDF
Trans. Amer. Math. Soc. 75 (1953), 428-443 Request permission
References
  • Armand Borel and André Lichnerowicz, Groupes d’holonomie des variétés riemanniennes, C. R. Acad. Sci. Paris 234 (1952), 1835–1837 (French). MR 48133
  • E. Cartan, Les groupes d’holonomie des espaces généralises, Acta Math. vol. 48, pp. 1-42.
  • 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 & Cie, Paris, 1951, pp. 15–27 (French). MR 0042426
  • 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 & Cie, Paris, 1951, pp. 57–71 (French). MR 0042427
  • S. S. Chern, Notes on differential geometry, Institute for Advanced Study notes, 1951. C. Chevalley, Lie groups, Princeton University Press, 1946.
  • Charles Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson & Cie, Paris, 1951, pp. 29–55 (French). MR 0042768
  • Hidehiko Yamabe, On an arcwise connected subgroup of a Lie group, Osaka Math. J. 2 (1950), 13–14. MR 36766
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Additional Information
  • © Copyright 1953 American Mathematical Society
  • 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