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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.

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The isometry groups of manifolds and the automorphism groups of domains
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by Rita Saerens and William R. Zame PDF
Trans. Amer. Math. Soc. 301 (1987), 413-429 Request permission


We prove that every compact Lie group can be realized as the (full) automorphism group of a strictly pseudoconvex domain and as the (full) isometry group of a compact, connected, smooth Riemannian manifold.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 301 (1987), 413-429
  • MSC: Primary 32M05; Secondary 53C20
  • DOI:
  • MathSciNet review: 879582