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.
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页码：351 / 381
页数：31
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