On the total curvature and area growth of minimal surfaces in \(\mathbb{R}^ n\) (Q1357569)
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scientific article; zbMATH DE number 1019704
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the total curvature and area growth of minimal surfaces in \(\mathbb{R}^ n\) |
scientific article; zbMATH DE number 1019704 |
Statements
On the total curvature and area growth of minimal surfaces in \(\mathbb{R}^ n\) (English)
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10 June 1997
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Let \(M\) be an immersed complete minimal surface in \(\mathbb{R}^n\). The author proves that the total curvature of \(M\) is finite if and only if \(M\) is of quadratic area growth and finite topological type.
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finite total curvature
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complete minimal surface
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quadratic area growth
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finite topological type
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0.96603745
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0.9406483
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0.9343738
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0.91117513
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0.9083847
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0.90262413
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0.9014803
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0.9002685
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0.9000712
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