Convex combinations of minimal graphs (Q456558)
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scientific article; zbMATH DE number 6093855
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convex combinations of minimal graphs |
scientific article; zbMATH DE number 6093855 |
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Convex combinations of minimal graphs (English)
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16 October 2012
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Summary: Given a collection of minimal graphs, \(M_1, M_2, \dots, M_n\), with isothermal parametrizations in terms of the Gauss map and height differential, we give sufficient conditions on \(M_1, M_2, \dots, M_n\) so that a convex combination of them will be a minimal graph. We will then provide two examples, taking a convex combination of Scherk's doubly periodic surface with the catenoid and Enneper's surface, respectively.
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Scherk's doubly periodic surface
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catenoid surface
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Enneper's surface
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