Complete minimal surfaces in R3 with a prescribed coordinate function

被引：10

作者：

Alarcon, Antonio ^{[1
]}

Fernandez, Isabel ^{[2
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

[2] Univ Seville, Dept Matemat Aplicada 1, E-41012 Seville, Spain

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2011年 / 29卷

关键词：

Complete minimal surfaces; Harmonic functions; CONJECTURES; IMMERSIONS;

D O I：

10.1016/j.difgeo.2011.04.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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). (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：S9 / S15

页数：7

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