Complete minimal surfaces in R3 with a prescribed coordinate function

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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).
11 pages, 1 figure

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Differential Geometry, 53A10; 53C42; 49Q05; 30F15

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http://salesiana.dossiersoluciones.com/handle/123456789/167229

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.2363
 http://arxiv.org/abs/0808.2363

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arXiv