Adding one handle to half-plane layers (Q982680)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Adding one handle to half-plane layers |
scientific article |
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Adding one handle to half-plane layers (English)
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7 July 2010
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This article represents a remarkable contribution to the field of minimal surfaces. The author solves a Jenkins-Serrin problem over a strip domain and further takes the conjugate minimal surface to the Jenkins-Serrin graph. This way, he builds a properly embedded periodic minimal surface (with infinite total curvature in the quotient of its period) -- by adding a handle to the toroidal half-plane layers.
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embedded minimal surface
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periodic minimal surface
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infinite total curvature
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toroidal half-plane layers
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Karcher surfaces
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Jenkins-Serrin surface
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maximal surface equation
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