兰州理工大学学报

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (1): 155-157.

• 数理科学 • 上一篇    下一篇

Mn(c)×R1中具有三个不同特征值的伪平行类空超曲面

戴忠柱, 姜蕴芝, 初裴裴   

  1. 营口理工学院 基础部, 辽宁 营口 115014
  • 收稿日期:2019-11-18 出版日期:2021-02-28 发布日期:2021-03-11
  • 作者简介:戴忠柱(1985-),男,黑龙江佳木斯人,硕士,讲师.

Pseudo-parallel space-like hypersurfaces with three different eigenvalues in Mn(c)×R1

DAI Zhong-zhu, JIANG Yun-zhi, CHU Pei-pei   

  1. Yingkou Institute of Technology, Department of Basic Courses, Yingkou 115014, China
  • Received:2019-11-18 Online:2021-02-28 Published:2021-03-11

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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.

关键词: Lorentzian乘积空间, 类空超曲面, 伪平行, H-平行

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.

Key words: Lorentzian product space, spacelike hypersurface, pseudo-parallel, H-parallel

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