Equivalence of the Apollonian and its inner metric (Q978981)
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scientific article; zbMATH DE number 5726435
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalence of the Apollonian and its inner metric |
scientific article; zbMATH DE number 5726435 |
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Equivalence of the Apollonian and its inner metric (English)
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25 June 2010
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Summary: We show that the equivalence of the Apollonian metric and its inner metric remains unchanged if a point is removed from the domain. For this we need to assume that the complement of the domain is not contained in a hyperplane. This improves a result of the authors, wherein the same conclusion was reached under the stronger assumption that the domain contains an exterior point.
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Apollonian metric
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inner metric
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