A Bernstein theorem for complete spacelike hypersurfaces of constant mean curvature in Minkowski space

被引：0

作者：

Wu, BQ ^{[1
]}

机构：

[1] Xuzhou Normal Univ, Dept Math, Xuzhou 221009, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 01期

关键词：

constant mean curvature; spacelike hypersurface; Minkowski space;

D O I：

10.1090/S0002-9939-03-07045-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove a general Bernstein theorem on the complete spacelike constant mean curvature hypersurfaces in Minkowski space. The result generalizes the previous result of Cao-Shen-Zhu ( 1998) and Xin ( 1991). The proof again uses the fact that the Gauss map of a constant mean curvature hypersurface is harmonic, which was proved by K. T. Milnor ( 1983), and the maximum principle of S. T. Yau ( 1975).

引用

页码：211 / 215

页数：5

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