| 伪黎曼空间形式中的伪平行类空子流形 |
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| 引用本文： | 刘建成,王丽莉.伪黎曼空间形式中的伪平行类空子流形[J].西北师范大学学报,2010(6). |
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| 作者姓名： | 刘建成 王丽莉 |
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| 作者单位： | 西北师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10871138) |
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| 摘 要： | 研究伪黎曼空间形式中的类空子流形.对类空超曲面,得到它是伪平行的充要条件;对伪平行类空子流形,利用约当三角系统得到它是全测地的充分条件.
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| 关 键 词： | 伪黎曼空间 伪平行 H-平行 类空子流形 |
Pseudo-parallel space-like submanifolds of pseudo-Riemannian space forms |
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| LIU Jian-cheng,WANG Li-li.Pseudo-parallel space-like submanifolds of pseudo-Riemannian space forms[J].Journal of Northwest Normal University Natural Science (Bimonthly),2010(6). |
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| Authors: | LIU Jian-cheng WANG Li-li |
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| Institution: | LIU Jian-cheng,WANG Li-li(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China) |
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| Abstract: | The main purpose of this paper is to study space-like submanifolds of pseudo-Riemannian space forms.A necessary and sufficient condition for space-like hypersurfaces to be pseudo-parallel ones is obtained.Using Jordan triple system,a sufficient condition for pseudo-parallel space-like submanifolds to be totally geodesic ones is also given. |
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| Keywords: | pseudo-Riemannian space pseudo-parallel H-parallel space-like submanifold |
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