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

页码：137 / 145

页数：9

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