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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作者单位
宣满友 南昌陆军学院 
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英文摘要:
      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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