| 双曲空间Hn+p(-1)中具常数量曲率的完备子流形 |
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| 引用本文： | 舒世昌,刘三阳.双曲空间Hn+p(-1)中具常数量曲率的完备子流形[J].数学进展,2006,35(2):155-166. |
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| 作者姓名： | 舒世昌 刘三阳 |
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| 作者单位： | 1. 西安电子科技大学应用数学系,西安,陕西,710071;咸阳师范学院数学系,咸阳,陕西,712000
2. 西安电子科技大学应用数学系,西安,陕西,710071 |
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| 基金项目： | Foundation item: This research was supported by NSFC(No. 69972036)
NSF of Shaanxi Province(No.2003A02). |
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| 摘 要： | 设Mn是Hn p(-1)中具有常标准数量曲率的n维完备子流形,本文证明了这种完备子流形的某些内蕴刚性定理和分类定理,并对超曲面的情形进行了研究．
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| 关 键 词： | 双曲空间 子流形 常标准数量曲率 全脐 |
| 文章编号： | 1000-0917（2006）02-0155-12 |
| 收稿时间： | 2004-02-26 |
| 修稿时间： | 2004年2月26日 |
Complete Submanifolds With Constant Scalar Curvature in the Hyperbolic Space |
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| SHU Shi-chang,LIU San-yang.Complete Submanifolds With Constant Scalar Curvature in the Hyperbolic Space[J].Advances in Mathematics,2006,35(2):155-166. |
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| Authors: | SHU Shi-chang LIU San-yang |
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| Abstract: | This paper investigates n-dimensional complete submanifolds with constant normalized scalar curvature in the hyperbolic space, and obtains some intrinsic rigidity theorems and classification theorems of the submanifolds as well as hypersurfaces. |
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| Keywords: | hyperbolic space normalized scalar curvature submanifold umbilical |
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