MINIMAL SURFACES IN R3 PROPERLY PROJECTING INTO R2

被引：0

作者：

Alarcon, Antonio ^{[1
]}

Lopez, Francisco J. ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2012年 / 90卷 / 03期

关键词：

UNIFORM APPROXIMATION; CONJECTURES; EXISTENCE; TOPOLOGY; CURVES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For all open Riemann surface N and real number theta is an element of (0, pi/2), we construct a conformal minimal immersion X = (X-1, X-2, X-3) : If N -> R-3 such that X-3 +tan(theta)vertical bar X-1 vertical bar : N -> R is positive and proper. Furthermore, X can be chosen with an arbitrarily prescribed flux map. Moreover, we produce properly immersed hyperbolic minimal surfaces with non-empty boundary in R-3 lying above a negative sublinear graph.

引用

页码：351 / 381

页数：31

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