| Sasakian空间形式中的全脐子流形 |
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| 引用本文： | 宣满友.Sasakian空间形式中的全脐子流形[J].绍兴文理学院学报,1998(6). |
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| 作者姓名： | 宣满友 |
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| 作者单位： | 绍兴文理学院数学系!绍兴312000 |
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| 摘 要： | 本文得到黎曼流形中的全脐子流形为共形平坦子流形的一个充要条件，并把1]中的结论推广到Sasakian空间形式中去．
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| 关 键 词： | Sasakian空间形式、全脐子流形 全脐不变子流形 常φ一截面曲率 |
On Totally Umbilical Submanifolds in a Sasakian Space Form |
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| Xuan Manyou.On Totally Umbilical Submanifolds in a Sasakian Space Form[J].Journal of Shaoxing College of Arts and Sciences,1998(6). |
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| Authors: | Xuan Manyou |
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| Institution: | Department of Mathematics |
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| Abstract: | We first give the necessary and sufficient condition, on that a totally umbilical submanifolds in a Riemannian manifold is a conformally flat,Then we generalized the resulte in 1] over a Sasakian space form:Let M be a (2n 1)-dimensiona (n > 2) totally unbilical submanifold immersed in an m-dimensional (m > 3) Sasakian space form M(c), then M is conformally flat or it is totally geodesic. |
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