On the automorphism group of some special \(S^1O(n,\mathbb R)\)-invariant domains in \(\mathbb C^n\) (Q934519)
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scientific article; zbMATH DE number 5305514
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the automorphism group of some special \(S^1O(n,\mathbb R)\)-invariant domains in \(\mathbb C^n\) |
scientific article; zbMATH DE number 5305514 |
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On the automorphism group of some special \(S^1O(n,\mathbb R)\)-invariant domains in \(\mathbb C^n\) (English)
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29 July 2008
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It is the aim of this work to present a method for the study of the automorphism group of a domain in \(\mathbb C^n\), determined by a norm, which is different form the canonical one. The automorphism group of these domains is \(S^1 O(n, \mathbb R)\). The proof is based in results of Kaup-Upmeir and Wong-Rosay, Pinchuk. The author begins the work with a study of these domains.
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automorphism groups
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convex domains in \(\mathbb C^n\)
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