Complete minimal surfaces in R3 with a prescribed coordinate function
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 topol- ogy of the smooth convergence on compact sets).
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/93400 |
| Acceso en línea: | https://hdl.handle.net/11441/93400 https://doi.org/10.1016/j.difgeo.2011.04.002 |
| Access Level: | acceso abierto |
| Palabra clave: | Complete minimal surfaces Harmonic functions |
| Sumario: | 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 topol- ogy of the smooth convergence on compact sets). |
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