Construction of higher genus minimal surfaces with one end and finite total curvature (Q1922256)

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scientific article; zbMATH DE number 927277
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Construction of higher genus minimal surfaces with one end and finite total curvature
scientific article; zbMATH DE number 927277

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    Construction of higher genus minimal surfaces with one end and finite total curvature (English)
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    14 May 2003
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    Using the Enneper-Weierstrass representation the author constructs minimal surfaces in \(\mathbb{R}^3\) with finite total curvature. He shows existence of higher genus minimal surfaces with one Enneper-type end and finite curvature.
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    Enneper-Weierstrass representation
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    minimal surfaces
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    finite total curvature
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