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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 被引量：2

Classification of Type I Time-Like Hyperspaces with Parallel Conformal Second Fundamental Forms in the Conformal Space
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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. 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.
作者 聂昌雄 田大平 吴传喜
机构地区 湖北大学数学与计算机科学学院 北京大学数学科学学院 湖北大学数学研究所
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2011年第1期125-136,共12页 Acta Mathematica Sinica：Chinese Series
基金 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
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 the conformal space the conformal invariants the conformal second fundamental form type I time-like hypersurfaces
分类号 O186.1 [理学—基础数学]
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共引文献73

同被引文献17

  • 1徐森林,胡自胜.anti-de Sitter空间中紧致类空超曲面的积分公式及其在常高阶平均曲率下的应用[J].数学物理学报（A辑）,2007,27(2):302-308. 被引量：8
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数学学报（中文版）
2011年 第1期

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