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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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Complete localization of domains with noncompact automorphism groups
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by Kang-Tae Kim PDF
Trans. Amer. Math. Soc. 319 (1990), 139-153 Request permission

Abstract:

We prove a characterization of the domains in ${{\mathbf {C}}^n}$ with an automorphism orbit accumulating at a boundary point at which the boundary is real analytic and convex up to a biholomorphic change of local coordinates. This result generalizes the well-known Wong-Rosay theorem on strongly pseudoconvex domains to the case of locally convex domains with real analytic boundaries.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 319 (1990), 139-153
  • MSC: Primary 32H20; Secondary 32A40, 32F15, 32M05
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0986028-X
  • MathSciNet review: 986028