Complete minimal surfaces in R3 with a prescribed coordinate function
classification
🧮 math.DG
keywords
surfacescoordinatefunctionminimalcompleteprescribedcompactconnected
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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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