摘要
在文[Classification of type I time-like Hyperspaces with parallel conformal second fundamental forms in the conformal space,Acta Mathematica Sinica,Chinese Series,2011,54(1):125-136]中,我们已对共形空间中具有平行的共形第二基本形式的I型类时超曲面作了分类,本文将探讨其他类型的类时超曲面并完全分类共形空间中具有平行的共形第二基本形式的类时超曲面.
In[Classification of type I time-like Hyperspaces with parallel conformal second fundamental forms in the conformal space,Acta Mathematica Sinica,Chinese Series,2011,54（1）：125-136],we have classified the Type I Lorentzian hypersurfaces with parallel conformal second fundamental forms in the conformal space.In this paper,we study the rest types of Lorentzian hypersurfaces and classify completely Lorentzian Hypersurfaces with parallel conformal second fundamental forms in the conformal space.
出处
《数学学报（中文版）》
CSCD
北大核心
2015年第6期897-910,共14页
Acta Mathematica Sinica：Chinese Series
关键词
共形第二基本形式
自共轭线性算子
类时超曲面
the conformal second fundamental form
self-conjugate linear operators
Lorentzian hypersurfaces
