摘要
本文研究了双曲空间形式H^(n+1)(—1)中具有常平均曲率及两个离散主曲率(其中一个主曲率是1-重)的完备连通可定向的n-维超曲面M^n.利用活动标架,得到如果M^n的基本形式的模长满足刚性条件(1.3),那么M^n同构双曲柱面.
In the paper, we study an ndimensional complete connected and oriented hypersurface MN in H^n＋1（-1） with constant mean curvature and two distinct principal curvatures, one of which is simple. By using the moving frames, we obtain that if the squared norm of second fundamental form of M^n satisfies a rigidity condition （1.3）, the M^n is isometric to hyperbolic cylinder.
出处
《数学杂志》
CSCD
北大核心
2014年第4期633-639,共7页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(10971029
11201400
11026062)
Project of Henan Provincial Department of Education(2011A110015)
Talent Youth Teacher Fund of Xinyang Normal University
关键词
超曲面
双曲空间形式
常平均曲率
hypersurfaces
hyperbolic space form
constant mean curvature
