Article ID Journal Published Year Pages File Type
4606341 Differential Geometry and its Applications 2011 7 Pages PDF
Abstract

In this paper we construct complete simply connected minimal surfaces with a prescribed coordinate function. Moreover, we prove that these surfaces are dense in the space of all minimal surfaces with this coordinate function (with the topology of the smooth convergence on compact sets).

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Physical Sciences and Engineering Mathematics Analysis
Preview
Complete minimal surfaces in R3R3 with a prescribed coordinate function
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