On the automorphism groups of complex domains (Q2875836)
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scientific article; zbMATH DE number 6329344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the automorphism groups of complex domains |
scientific article; zbMATH DE number 6329344 |
Statements
12 August 2014
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automorphism group
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invariant metric
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semicontinuity
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pseudoconvex domain
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On the automorphism groups of complex domains (English)
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The starting point of this paper is Poincaré's theorem, which states that there is no biholomorphic map between the unit ball of \(\mathbb{C}^n\) and the unit \(n\)-polydisc of \(\mathbb{C}^n\) for \(n > 1\). The author asks some questions that naturally arise in the study of the automorphism groups of complex domains of \(\mathbb{C}^n\) and gives a survey of their best possible answers known for now and references for further developments.NEWLINENEWLINEFor the entire collection see [Zbl 1284.00072].
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