HYPERSURFACES OF MINKOWSKI SPACE WITH CONSTANT MEAN CURVATURE

被引：0
|
作者：
Li, Jintang [1 ]
机构：
[1] Xiamen Univ, Dept Math, Xiamen 361005, Fujian, Peoples R China
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2013年 / 39卷 / 01期
关键词：
Finsler manifolds; Minkowski space; Hypersurfaces; Mean curvature; FINSLER GEOMETRY; SUBMANIFOLDS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M-n be a compact hypersurface of Minkowski space (Vn+1, (F) over bar) with parallel unit normal vector and constant mean curvature H. In this paper, we prove that if the norm square S of the second fundamental form of M satisfies S <= n(2)H(2)/n-1, then M is either an Euclidean sphere (H not equal 0) or a locally Minkowski space (H = 0).
引用
收藏
页码：137 / 145
页数：9
相关论文
共 50 条
12345