| 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 |
| 某些黎曼流形中的全脐子流形 |
| On Totally Umbilical Submanifolds in Some Riemannian Manifolds |
| 投稿时间：1987-05-20 |
| DOI：10.3770/j.issn:1000-341X.1989.02.012 |
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| 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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