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A new characteristic of Möbius transformations by use of polygons having type a - MaRDI portal

A new characteristic of Möbius transformations by use of polygons having type a (Q855638)

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scientific article; zbMATH DE number 5078062
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A new characteristic of Möbius transformations by use of polygons having type a
scientific article; zbMATH DE number 5078062

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    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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