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| 共形空间中具有平行的共形第二基本形式的I型类时超曲面的分类 | |
| 引用本文： | 聂昌雄,田大平,吴传喜.共形空间中具有平行的共形第二基本形式的I型类时超曲面的分类[J].数学学报,2011,54(1):125-136. |
| 作者姓名： | 聂昌雄 田大平 吴传喜 |
| 作者单位： | 1. 湖北大学数学与计算机科学学院 武汉 430062; 2. 北京大学数学科学学院 北京 100871; 3. 湖北大学数学研究所 武汉 430062 |
| 基金项目： | 国家自然科学基金资助项目(10801006,10971055);应用数学湖北省重点实验室开放课题项目 |
| 摘 要： | 共形空间中具有平行的共形第二 基本形式的类空超曲面已经作了完全分类, 本文将继续类时情形的探讨并对此时的I型 类时超曲面分类.
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| 关 键 词： | 共形空间 共形不变量 共形第二基本形式 I型类时超曲面 |
| 收稿时间： | 2010-03-30 |
| 修稿时间： | 2010-07-23 |
Classification of Type I Time-Like Hyperspaces with Parallel Conformal Second\\[1mm] Fundamental Forms in the Conformal Space |
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| Chang Xiong NIE School of Mathematics & Computer Sciences,Hubei University,Wuhan,P.R.China School of Mathematics Sciences,Peking University,Beijing,P.R.China Da Ping TIAN School of Mathematics & Computer Science,Hubei University,Wuhan,P.R.China Chuan Xi WU.Classification of Type I Time-Like Hyperspaces with Parallel Conformal Second\\[1mm] Fundamental Forms in the Conformal Space[J].Acta Mathematica Sinica,2011,54(1):125-136. | |
| Authors: | Chang Xiong NIE School of Mathematics & Computer Sciences Hubei University Wuhan PRChina School of Mathematics Sciences Peking University Beijing PRChina Da Ping TIAN School of Mathematics & Computer Science Hubei University Wuhan PRChina Chuan Xi WU |
| Institution: | 1. School of Mathematics & Computer Sciences, Hubei University, Wuhan 430062, P. R. China; 2. School of Mathematics Sciences, Peking University, Beijing 100871, P. R. China; 3. Institute of Mathematics, Hubei University, Wuhan 430062, P. R. China |
| Abstract: | We have classified completely the space-like hypersurfaces with parallel conformal second fundamental forms in the conformal space. In this work, we study the time-like case and classify the Type I time-like hypersurfaces with parallel conformal second fundamental forms. |
| Keywords: | the conformal space the conformal invariants the conformal second fundamental form type I time-like hypersurfaces |
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