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Minimal surfaces whose Gauss map covers periodically the pointed upper half-sphere exactly once - MaRDI portal

Minimal surfaces whose Gauss map covers periodically the pointed upper half-sphere exactly once (Q1409782)

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scientific article; zbMATH DE number 1995499
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English
Minimal surfaces whose Gauss map covers periodically the pointed upper half-sphere exactly once
scientific article; zbMATH DE number 1995499

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    Minimal surfaces whose Gauss map covers periodically the pointed upper half-sphere exactly once (English)
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    22 October 2003
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    The authors study some geometrical properties of univalent harmonic maps \(f\) which satisfy the following equation \(\overline f_{\overline z}=\frac {a\overline f}{f} f_z,\) where \(a\) is a finite Blaschke product. It is related to minimal surfaces whose Gauss map covers periodically the pointed upper half-sphere exactly once.
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    minimal surfaces
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    harmonic mapping
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