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| 摘要: |
| 本文研究了双曲空间形式Hn+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Mn.利用活动标架,得到如果Mn的基本形式的模长满足刚性条件(1.3),那么Mn同构双曲柱面. |
| 关键词: 超曲面 双曲空间形式 常平均曲率 |
| DOI： |
| 分类号:O186.1 |
| 基金项目: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. |
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| HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A HYPERBOLIC SPACE |
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HAN Ying-bo,FENG Shu-xiang
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| Abstract: |
| In the paper,we study an n-dimensional complete connected and oriented hypersurface MN in Hn+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 Mn satisfies a rigidity condition (1.3),the Mn is isometric to hyperbolic cylinder. |
| Key words: hypersurfaces hyperbolic space form constant mean curvature |
