Complete minimal surfaces in R3 with a prescribed coordinate function

Details Complete minimal surfaces in R3 with a prescribed coordinate function Complete minimal surfaces in R3 with a prescribed coordinate function

2008-08-18

arxiv.org/abs/0808.2363v1

Mathematics

Differential Geometry

11 pages, 1 figure

Scientific paper

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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