M^(n)(c)×R_(1)中具有三个不同特征值的伪平行类空超曲面  

Pseudo-parallel space-like hypersurfaces with three different eigenvalues in M^(n)(c)×R_(1)

作　　者：戴忠柱 姜蕴芝 初裴裴 DAI Zhong-zhu;JIANG Yun-zhi;CHU Pei-pei(Yingkou Institute of Technology, Department of Basic Courses, Yingkou 115014, China)

机构地区：[1]营口理工学院基础部,辽宁营口115014

出　　处：《兰州理工大学学报》2021年第1期155-157,共3页Journal of Lanzhou University of Technology

摘　　要：研究了Lorentzian乘积空间M^(n)(c)×R_(1)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.The pseudo-parallel space-like hypersurface in Lorentzian product space M^(n)(c)×R_(1) 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.

关 键 词：Lorentzian乘积空间 类空超曲面 伪平行 H-平行 

分 类 号：O186.12[理学—基础数学]