Convex Combinations of Minimal Graphs

Michael Dorff, Ryan Viertel and Magdalena Wołoszkiewicz

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-9

Abstract:

Given a collection of minimal graphs, , with isothermal parametrizations in terms of the Gauss map and height differential, we give sufficient conditions on 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:724268

DOI: 10.1155/2012/724268

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