| 具有平行的共形第二基本形式的类时超曲面 |
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| 引用本文： | 聂昌雄,于艳梅,郑立荷. 具有平行的共形第二基本形式的类时超曲面[J]. 数学学报, 2015, 58(6): 897-910 |
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| 作者姓名： | 聂昌雄 于艳梅 郑立荷 |
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| 作者单位： | 湖北大学数学与统计学学院 武汉 430062 |
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| 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.
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| 关 键 词： | 共形第二基本形式 自共轭线性算子 类时超曲面 |
Lorentzian Hypersurfaces with Parallel Conformal Second Fundamental Forms |
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| Chang Xiong NIE,Yan Mei YU,Li He ZHENG. Lorentzian Hypersurfaces with Parallel Conformal Second Fundamental Forms[J]. Acta Mathematica Sinica, 2015, 58(6): 897-910 |
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| Authors: | Chang Xiong NIE Yan Mei YU Li He ZHENG |
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| Affiliation: | Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, P. R. China |
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| Abstract: | 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. |
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| Keywords: | the conformal second fundamental form self-conjugate linear operators Lorentzian hypersurfaces |
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