| 空间型中位置向量场的性质及其应用 |
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| 引用本文： | 王幼宁.空间型中位置向量场的性质及其应用[J].北京师范大学学报(自然科学版),2005,41(5):464-468. |
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| 作者姓名： | 王幼宁 |
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| 作者单位： | 北京师范大学数学科学学院,100875,北京 |
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| 摘 要： | 讨论空间型中的位置向量场,建立一组统一的公式,将子流形的平均曲率向量场与位置向量及其衍生函数的Laplacian联系在一起.给出一些在空间型子流形几何上的有趣应用.
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| 关 键 词： | 位置向量场 空间型 子流形 |
| 收稿时间： | 2004-12-30 |
| 修稿时间： | 2004年12月30日 |
SOME PROPERTIES ON THE POSITION VECTOR FIELDS IN SPACE FORMS AND THEIR APPLICATIONS |
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| Wang Youning.SOME PROPERTIES ON THE POSITION VECTOR FIELDS IN SPACE FORMS AND THEIR APPLICATIONS[J].Journal of Beijing Normal University(Natural Science),2005,41(5):464-468. |
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| Authors: | Wang Youning |
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| Institution: | School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China |
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| Abstract: | The position vector fields in space forms are studied. Some uniform formulae are established, which link the Laplacian of the position vector function to the mean curvature vector field on any submanifold in the space forms. Some interesting applications concerning the geometry of submanifolds of space forms are given. |
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| Keywords: | Laplacian |
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