Affinity of angle preserving mappings (Q1405922)
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scientific article; zbMATH DE number 1977046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Affinity of angle preserving mappings |
scientific article; zbMATH DE number 1977046 |
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Affinity of angle preserving mappings (English)
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8 September 2003
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It is proved that the preservation of an angle (nonzero and nonstraight) is sufficient for a mapping \(\mathbb{R}^2\to \mathbb{R}^2\) to be a similarity. In terms of circle-preserving mappings a criterion is given for the fact that the mapping of an \(n\)-dimensional space into itself is a similarity.
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angle-preserving mappings
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similarity
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circle-preserving mapping
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