| anti-de Sitter空间的半平行和高阶平行超曲面 |
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| 引用本文： | 吴筱怡,徐慧群.anti-de Sitter空间的半平行和高阶平行超曲面[J].高师理科学刊,2010,30(1):1-5. |
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| 作者姓名： | 吴筱怡 徐慧群 |
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| 作者单位： | 杭州师范大学,理学院,浙江,杭州,310036 |
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| 基金项目： | 国家自然科学基金项目 |
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| 摘 要： | 给出了anti-de Sitter空间H 1n+1(-1)(n2)的半平行超曲面的分类,并利用此分类定理证明了H 1n+1(-1)空间的高阶平行超曲面与平行超曲面的等价性.
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| 关 键 词： | anti-de Sitter空间 半平行超曲面 平行超曲面 高阶平行超曲面 第二基本形式 |
The semi-parallel spacelike hypersurfaces and the higher order parallel spacelike hypersurfaces in a anti-de Sitter space |
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| WU Xiao-yi,XU Hui-qun.The semi-parallel spacelike hypersurfaces and the higher order parallel spacelike hypersurfaces in a anti-de Sitter space[J].Journal of Science of Teachers＇College and University,2010,30(1):1-5. |
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| Authors: | WU Xiao-yi XU Hui-qun |
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| Institution: | ( School of Science, Hangzhou Normal University, Hangzhou 310036, China ) |
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| Abstract: | Obtained the classification of the semi-parallel hypersurfaces in a anti-de Sitter space H1^（n＋1）（-1）（ n 〉 2 ）, using the classification, obtained the equivalence between the hypersurfaces with parallel higher order and the hypersurfces with parallel H1^（n＋1）（-1）. |
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| Keywords: | anti-de Sitter space semi-parallel hypersurfaees parallel hypersurfaces higher order parallel hypersurfaces second fundamental form |
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