| 容有全脐超曲面簇的黎曼流形 |
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| 引用本文： | 赵培标 孙国汉. 容有全脐超曲面簇的黎曼流形[J]. 安徽师范大学学报(自然科学版), 1996, 19(1): 17-19 |
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| 作者姓名： | 赵培标 孙国汉 |
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| 作者单位： | 安徽财贸学院基础部，安徽师范大学数学系 |
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| 摘 要： | 本文给出了容有全脐超曲面族的黎曼流形的一些基本性质，并证得其与一球面等距。
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| 关 键 词： | 全脐超曲面 平行场 调和场 黎曼流形 球面等距性 |
THE RIEMANNIAN MANIFOLD CONTAINED THE TOTALLY UMBILICAL HYPERSURFACE FAMILY |
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| Zhao Peibiao. THE RIEMANNIAN MANIFOLD CONTAINED THE TOTALLY UMBILICAL HYPERSURFACE FAMILY[J]. Journal of Anhui Normal University(Natural Science Edition), 1996, 19(1): 17-19 |
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| Authors: | Zhao Peibiao |
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| Abstract: | In this paper,we give some characterishcs of the Riemannian manifold con tained the totally umbilical hypersurface family, and obtain that it is to be isometric to a sphere. |
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| Keywords: | totally umblical hypersurface parallel vector field harmonic vector field isometry |
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