| Mn(c)×R1中具有三个不同特征值的伪平行类空超曲面 |
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| 引用本文： | 戴忠柱,姜蕴芝,初裴裴.Mn(c)×R1中具有三个不同特征值的伪平行类空超曲面[J].兰州理工大学学报,2021,47(1):155. |
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| 作者姓名： | 戴忠柱 姜蕴芝 初裴裴 |
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| 作者单位： | 营口理工学院 基础部, 辽宁 营口 115014 |
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| 摘 要： | 研究了Lorentzian乘积空间Mn(c)×R1中伪平行类空超曲面,得到超曲面是伪平行的充要条件,证明了伪平行超曲面与H-平行超曲面等价;具有三个不同特征值的伪平行类空超曲面是常角超曲面.
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| 关 键 词： | Lorentzian乘积空间 类空超曲面 伪平行 H-平行 |
| 收稿时间： | 2019-11-18 |
Pseudo-parallel space-like hypersurfaces with three different eigenvalues in Mn(c)×R1 |
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| DAI Zhong-zhu,JIANG Yun-zhi,CHU Pei-pei.Pseudo-parallel space-like hypersurfaces with three different eigenvalues in Mn(c)×R1[J].Journal of Lanzhou University of Technology,2021,47(1):155. |
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| Authors: | DAI Zhong-zhu JIANG Yun-zhi CHU Pei-pei |
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| Institution: | Yingkou Institute of Technology, Department of Basic Courses, Yingkou 115014, China |
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| Abstract: | The pseudo-parallel space-like hypersurface in Lorentzian product space Mn(c)×R1 is studied, and the necessary and sufficient conditions for the hypersurfaces to be pseudo-parallel are hence obtained. This proves that the pseudo-parallel hypersurfaces are equivalent to H-parallel hypersurfaces, and proves further that the pseudo-parallel space-like hypersurfaces with three different eigenvalues are constantly-angled hypersurfaces. |
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| Keywords: | Lorentzian product space spacelike hypersurface pseudo-parallel H-parallel |
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