| 双曲空间中具有非正Ricci曲率的超曲面 |
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| 引用本文： | 张秋燕,张雪蓉.双曲空间中具有非正Ricci曲率的超曲面[J].实验科学与技术,2009,7(4):37-38. |
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| 作者姓名： | 张秋燕 张雪蓉 |
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| 作者单位： | [1]电子科技大学成都学院文理系,成都611731 [2]四川农业大学生命科学与理学院,四川雅安625014 |
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| 摘 要： | 讨论双曲空间中具有非正Ricci曲率的超曲面的性质，得到了超曲面第二基本形式模长平方的一个最优下界。进而，还得到了主曲率乘积的一个上界。
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| 关 键 词： | 双曲空间 Ricci曲率 第二基本形式 主曲率 |
Hypersurfaces with Non-positive Ricci Curvature in Hyperbolic Spaces |
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| ZHANG Qiu-yan,ZHANG Xue-rong.Hypersurfaces with Non-positive Ricci Curvature in Hyperbolic Spaces[J].Experiment Science & Technology,2009,7(4):37-38. |
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| Authors: | ZHANG Qiu-yan ZHANG Xue-rong |
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| Institution: | 1. Department of Arts and Science, Chengdu College of University of Electronic Science and Technology of China, Chengdu 611731, China; 2. College of Life and Mathematics Science, Sichuan Agiricultural University, Yaan 625014, China) |
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| Abstract: | The hypersurfaces with non-positive Ricci curvature in hyperbolic spaces are studied in this paper. A lower bound for the square length of the second fundamental form of the hypersurfaces is obtained. Further, an upper bound for the product of the principal curvatures of the hypersurfaces is also obtained. |
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| Keywords: | hyperbolic space Ricci curvature second fundamental form principal curvature |
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