A halfspace theorem for mean curvature H=1/2 surfaces in H2 x R

被引：11

作者：

Nelli, Barbara ^{[2
]}

Earp, Ricardo Sa ^{[1
]}

机构：

[1] Pontificia Univ Catolica Rio de Janeiro, Rio De Janeiro, Brazil

[2] Univ Aquila, I-67100 Laquila, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期

关键词：

Second order elliptic equation; Maximum principle; Vertical end; Mean curvature; Halfspace theorem; SCREW MOTION SURFACES;

D O I：

10.1016/j.jmaa.2009.10.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a vertical halfspace theorem for surfaces with constant mean curvature H = 1/2, properly immersed in the product space H-2 x R, where H-2 is the hyperbolic plane and R is the set of real numbers. The proof is a geometric application of the classical maximum principle for second order elliptic PDE, using the family of noncompact rotational H = 1/2 surfaces in H-2 x R. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：167 / 170

页数：4

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