A new characteristic of Möbius transformations by use of polygons having type a (Q855638)
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scientific article; zbMATH DE number 5078062
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new characteristic of Möbius transformations by use of polygons having type a |
scientific article; zbMATH DE number 5078062 |
Statements
A new characteristic of Möbius transformations by use of polygons having type a (English)
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7 December 2006
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A polygon is said to be of type A if it has exactly two interior angles not equal to \(\pi/2\). Suppose that \(f\) is a continuous bijection of the unit disk onto itself. It is shown that \(f\) is Möbius if and only if it maps every polygon \(P\) of type A to a polygon which is similar to \(P\).
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Möbius transformations
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polygons
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