Domains in \(\mathbb{C}^ n\) with a piecewise Levi flat boundary which possess a noncompact automorphism group (Q811501)
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scientific article; zbMATH DE number 4215923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Domains in \(\mathbb{C}^ n\) with a piecewise Levi flat boundary which possess a noncompact automorphism group |
scientific article; zbMATH DE number 4215923 |
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Domains in \(\mathbb{C}^ n\) with a piecewise Levi flat boundary which possess a noncompact automorphism group (English)
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1992
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We prove that any bounded convex domain in \(\mathbb{C}^ n\) with a piecewise smooth Levi flat boundary which possesses a noncompact automorphism group is reducible in the sense that it is biholomorphic to a product domain. This, in particular, characterizes the bi-disk in \(\mathbb{C}^ 2\) by its automorphism group.
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bounded convex domain
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Levi flat boundary
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noncompact automorphism group
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biholomorphic to a product domain
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