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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On the transformation group of a real hypersurface
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by S. M. Webster
Trans. Amer. Math. Soc. 231 (1977), 179-190
DOI: https://doi.org/10.1090/S0002-9947-1977-0481085-5

Abstract:

The group of biholomorphic transformations leaving fixed a strongly pseudoconvex real hypersurface in a complex manifold is a Lie group. In this paper it is shown that the Chern-Moser invariants must vanish if this group is noncompact and the hypersurface is compact. Also considered are transformation groups of flat hypersurfaces and intransitive groups.
References
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Bibliographic Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 231 (1977), 179-190
  • MSC: Primary 32C05; Secondary 57E10
  • DOI: https://doi.org/10.1090/S0002-9947-1977-0481085-5
  • MathSciNet review: 0481085