Stable complete noncompact hypersurfaces with constant mean curvature

被引：2
|
作者：
Chen, Jui-Tang Ray [1 ]
机构：
[1] Natl Taiwan Normal Univ, Dept Math, Taipei 116, Taiwan
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2009年 / 36卷 / 02期
关键词：
Stable hypersurface; Constant mean curvature; Nonparabolic end; Parabolic end; Hyperbolic space; COMPLETE MANIFOLDS; MINIMAL HYPERSURFACES; RIEMANNIAN-MANIFOLDS; POSITIVE SPECTRUM; FINITE INDEX; SURFACES; STABILITY; R3;
D O I：
10.1007/s10455-009-9155-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article concerns the structure of complete noncompact stable hypersurfaces M(n) with constant mean curvature H > 0 in a complete noncompact oriented Riemannian manifold N(n+1). In particular, we show that a complete noncompact stable constant mean curvature hypersurface M(n), n = 5, 6, in the Euclidean space must have only one end. Any such hypersurface in the hyperbolic space with H(2) > 65/63, 175/148, 41/25, 671/171 for n = 3, 4, 5, 6, respectively, has only one end.
引用
收藏
页码：161 / 190
页数：30
相关论文
共 50 条
12345