Complete properly embedded minimal surfaces in \(\mathbf R^3\) (Q1847824)
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scientific article; zbMATH DE number 1820805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete properly embedded minimal surfaces in \(\mathbf R^3\) |
scientific article; zbMATH DE number 1820805 |
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Complete properly embedded minimal surfaces in \(\mathbf R^3\) (English)
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27 October 2002
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The authors prove the theorem that any complete properly embedded minimal annulus that lies above a suitable downward sloping cone must have finite total curvature. As corollaries, they obtain a proof of the ``finite total curvature conjecture'', and a new proof of the ``generalized Nitsche conjecture''.
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minimal surfaces
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minimal annulus
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finite total curvature
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