| 四元数射影空间的全实伪脐子流形 |
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| 引用本文： | 吴报强,徐向红.四元数射影空间的全实伪脐子流形[J].数学杂志,2005,25(1):13-20. |
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| 作者姓名： | 吴报强 徐向红 |
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| 作者单位： | 徐州师范大学数学系,江苏,徐州,221116 |
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| 摘 要： | 本文给出了四元数射影空间中紧致全实伪脐子流形关于截面曲率和Ricci曲率的Pinching定理，并推广和改进了四元数射影空间中紧致全实极小流形的一些结果．
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| 关 键 词： | 四元数射影空间 全实子流形 伪脐子流形 |
TOTALLY REAL PSEUDO-UMBILICAL SUBMANIFOLDS OF A QUATERNION PROJECTIVE SPACE |
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| Abstract.TOTALLY REAL PSEUDO-UMBILICAL SUBMANIFOLDS OF A QUATERNION PROJECTIVE SPACE[J].Journal of Mathematics,2005,25(1):13-20. |
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| Authors: | Abstract |
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| Abstract: | This paper gives several pinching theorems for totally real pseudo-umbilical submanifolds in a quaternion projective space about sectional curvature and Ricci curvature. They extend and improve some results of totally real minimal submanifolds in a quaternion projective space. |
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| Keywords: | quaternion projective space totally real submanifolds pseudo-umbilical submanifolds |
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