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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1988 Volume 135(177), Number 2, Pages 147–157 (Mi sm1692)

This article is cited in 41 papers

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

È. Bedford, S. I. Pinchuk


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.

UDC: 517.5

MSC: Primary 32M99; Secondary 32M05, 32H05

Received: 10.06.1986


 English version:
Mathematics of the USSR-Sbornik, 1989, 63:1, 141–151

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© Steklov Math. Inst. of RAS, 2025