| 某些黎曼流形中的全脐子流形 |
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| 引用本文： | 宣满友. 某些黎曼流形中的全脐子流形[J]. 数学研究及应用, 1989, 9(2): 227-230 |
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| 作者姓名： | 宣满友 |
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| 作者单位： | 南昌陆军学院 |
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| 摘 要： | The main result obtaind in this paper is that :Let M be a totally umbilical submanifolds in Riemannian manifold N. If the Weyl conformal curvature tensor for N satisfies the following condition: ▽xC=ω(X)C, for some 1-form ω and any vector field X in M, then M is con-formally flat or it is totally geodesic .
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| 关 键 词： | 黎曼流形 全脐子流形 共形曲率张量 |
| 收稿时间： | 1987-05-20 |
On Totally Umbilical Submanifolds in Some Riemannian Manifolds |
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| Xuan Manyou. On Totally Umbilical Submanifolds in Some Riemannian Manifolds[J]. Journal of Mathematical Research with Applications, 1989, 9(2): 227-230 |
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| Authors: | Xuan Manyou |
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