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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 235, Pages 110–113 (Mi tm238)  
This article is cited in 2 scientific papers (total in 2 papers)

Characterization of $\mathbb C^n$ by Its Automorphism Group

A. V. Isaev

Australian National University
Full-text PDF (112 kB) Citations (2)
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Abstract: We show that if the group of holomorphic automorphisms of a connected Stein manifold $M$ is isomorphic to that of $\mathbb C^n$ as a topological group equipped with the compact-open topology, then $M$ is biholomorphically equivalent to $\mathbb C^n$.
Received in August 2001
Bibliographic databases:
UDC: 517.177
Language: English
Citation: A. V. Isaev, “Characterization of $\mathbb C^n$ by Its Automorphism Group”, Analytic and geometric issues of complex analysis, Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin, Trudy Mat. Inst. Steklova, 235, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 110–113; Proc. Steklov Inst. Math., 235 (2001), 103–106
Citation in format AMSBIB
\Bibitem{Isa01}
\by A.~V.~Isaev
\paper Characterization of $\mathbb C^n$ by Its Automorphism Group
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 235
\pages 110--113
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1886577}
\zmath{https://zbmath.org/?q=an:1015.32020}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 235
\pages 103--106
Linking options:
  • https://www.mathnet.ru/eng/tm238
  • https://www.mathnet.ru/eng/tm/v235/p110
    • This publication is cited in the following 2 articles:
    1. Krantz S.G., “Automorphism Group Actions in Complex Analysis”, Expo. Math., 39:1 (2021), 78–114  crossref  mathscinet  isi
    2. Kodama A., Shimizu S., “A characterization of $C^k\times(C^*)^l$ from the viewpoint of biholomorphic automorphism groups”, J. Korean Math. Soc., 40:3 (2003), 563–575  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Full-text PDF :103
    References:38
     
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