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Embedded minimal surfaces with an infinite number of ends - MaRDI portal

Embedded minimal surfaces with an infinite number of ends (Q1122785)

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scientific article; zbMATH DE number 4107577
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Embedded minimal surfaces with an infinite number of ends
scientific article; zbMATH DE number 4107577

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    Embedded minimal surfaces with an infinite number of ends (English)
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    1989
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    The main result is the existence of a sequence \(M_ k\) of properly embedded minimal surfaces with an infinite number of flat annular ends. The surfaces are singly periodic with a translation group T. \(M_ k/T\) has finite total curvature, genus \(2k+1\) and two ends.
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    minimal surfaces
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    ends
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    finite total curvature
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