A quasiconformal analog of Carathéodory's criterion for the Möbius property of mappings (Q467648)
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scientific article; zbMATH DE number 6365595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quasiconformal analog of Carathéodory's criterion for the Möbius property of mappings |
scientific article; zbMATH DE number 6365595 |
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A quasiconformal analog of Carathéodory's criterion for the Möbius property of mappings (English)
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4 November 2014
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A well-known theorem of Carathéodory says that an injective map on a domain in the extended complex plane is a Möbius transformation if it maps circles to circles. The main result of the paper is the following generalization to the quasiconformal setting: An injective map on a domain in the extended complex plane is quasiconformal if it maps circles to \(k\)-quasicircles.
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quasicircle
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quasiconformal map
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