Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature (Q1903857)
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scientific article; zbMATH DE number 825547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature |
scientific article; zbMATH DE number 825547 |
Statements
Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature (English)
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12 December 1995
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It is proved that, for any curvilinear quadrangle having prescribed four angles with positive excess, there exists a unique geodesic quadrangle which can be conformally mapped onto the former quadrangle such that the vertices go into the vertices.
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conformal parametrization
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geodesic quadrangle
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quasiconformal map
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curvilinear quadrangle
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