Adding one handle to half-plane layers (Q982680)

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Adding one handle to half-plane layers
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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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