| 关于具有一个共形变分的紧致子流形 |
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| 引用本文： | 程新跃,王佳.关于具有一个共形变分的紧致子流形[J].西南师范大学学报(自然科学版),1995,20(6):632-637. |
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| 作者姓名： | 程新跃 王佳 |
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| 作者单位： | 重庆工业管理学院基础科学系，西南师范大学数学系 |
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| 摘 要： | 研究了浸入一个常曲率黎曼流形中的具有一个共形变分的紧致子流形，得到了几个使这种子流形成为球面子流形或全脐子流形的充分条件．
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| 关 键 词： | 共形变分 协变导数 球面子流形 全脐子流形 |
ON COMPACT SUBMANIFOLDS WITH A CONFORML VARIATION |
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| Chen Xinyue,Wang Jia.ON COMPACT SUBMANIFOLDS WITH A CONFORML VARIATION[J].Journal of Southwest China Normal University(Natural Science),1995,20(6):632-637. |
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| Authors: | Chen Xinyue Wang Jia |
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| Abstract: | The compact submanifolds with a conformal variation immersed in a Riemannian manifold of con-stant curvature are studied,And some sufficient conditions for such submanifolds to be spherical or to-tally umbilical submanifold are obtainel. |
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| Keywords: | conformal varIation spherical submamfold totally umbilical submanifold covariant derivative |
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