A minimal surface with one limit end and unbounded curvature (Q2841858)
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scientific article; zbMATH DE number 6192714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A minimal surface with one limit end and unbounded curvature |
scientific article; zbMATH DE number 6192714 |
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A minimal surface with one limit end and unbounded curvature (English)
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30 July 2013
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minimal surfaces
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limit end
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opening nodes
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The author proves the following theorem as the main result of this paper: ``There exists a complete, properly embedded minimal surface in \(\mathbb R^3\) which has unbounded Gaussian curvature. It has infinite genus, infinitely many catenoid type ends, and one limit end.'' This result is of genuine interest and importance to all researchers in differential geometry.
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