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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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On the group of real analytic diffeomorphisms of a compact real analytic manifold
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by J. Leslie PDF
Trans. Amer. Math. Soc. 274 (1982), 651-669 Request permission

Abstract:

In this paper we exhibit a Lie group structure on the group of real analytic diffeomorphisms of a compact real analytic manifold. Further, we show that a variant of the Kupka-Smale theorem holds for the underlying topology of the above mentioned Lie group.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 274 (1982), 651-669
  • MSC: Primary 58B12; Secondary 58D05, 58F99
  • DOI: https://doi.org/10.1090/S0002-9947-1982-0675073-5
  • MathSciNet review: 675073