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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Rigidity of proper holomorphic mappings between equidimensional bounded symmetric domains
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by Zhen-Han Tu
Proc. Amer. Math. Soc. 130 (2002), 1035-1042
DOI: https://doi.org/10.1090/S0002-9939-01-06383-3
Published electronically: October 1, 2001
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Abstract:

We prove that any proper holomorphic mapping between two equidimensional irreducible bounded symmetric domains with rank $\geq 2$ is a biholomorphism. The proof of the main result in this paper will be achieved by a differential-geometric study of a special class of complex geodesic curves on the bounded symmetric domains with respect to their Bergman metrics.
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Bibliographic Information
  • Zhen-Han Tu
  • Affiliation: Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
  • Address at time of publication: Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People’s Republic of China
  • Email: Tuzhenhan@yahoo.com
  • Received by editor(s): September 29, 2000
  • Published electronically: October 1, 2001
  • Communicated by: Steven R. Bell
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 1035-1042
  • MSC (2000): Primary 32H02, 32M15
  • DOI: https://doi.org/10.1090/S0002-9939-01-06383-3
  • MathSciNet review: 1873777