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Mathematics of the USSR-Sbornik, 1989, Volume 63, Issue 1, Pages 141–151
DOI: https://doi.org/10.1070/SM1989v063n01ABEH003264 (Mi sm1692) 		 
This article is cited in 38 scientific papers (total in 38 papers)

Domains in $\mathbf C^2$ with noncompact holomorphic automorphism groops

È. Bedford, S. I. Pinchuk
English version PDF (631 kB) Citations (38) Russian version article
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DOI: https://doi.org/10.1070/SM1989v063n01ABEH003264
Abstract: It is shown that if a bounded domain $\Omega\subset\mathbf C^2$ with real analytic boundary has a noncompact automorphism group, then it is biholomorphically equivalent to a domain
$$ E_m=\{z\in\mathbf C^2\colon|z_1|^{2m}+|z_2|^2<1\} $$
for some $m\in\mathbf N$.
Bibliography: 17 titles.
Received: 10.06.1986
Bibliographic databases:
UDC: 517.5
MSC: Primary 32M99; Secondary 32M05, 32H05
Language: English
Original paper language: Russian
Citation: È. Bedford, S. I. Pinchuk, “Domains in $\mathbf C^2$ with noncompact holomorphic automorphism groops”, Math. USSR-Sb., 63:1 (1989), 141–151
Citation in format AMSBIB
\Bibitem{BedPin88}
\by \`E.~Bedford, S.~I.~Pinchuk
\paper Domains in $\mathbf C^2$ with noncompact holomorphic automorphism groops
\jour Math. USSR-Sb.
\yr 1989
\vol 63
\issue 1
\pages 141--151
\mathnet{http://mi.mathnet.ru//eng/sm1692}
\crossref{https://doi.org/10.1070/SM1989v063n01ABEH003264}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=937803}
\zmath{https://zbmath.org/?q=an:0668.32029|0643.32011}
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    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:358
    Russian version PDF:106
    English version PDF:12
    References:45
     
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