| 关于四元射影空间的正曲率全复子流形 |
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| 引用本文： | 罗治国.关于四元射影空间的正曲率全复子流形[J].数学学报,1995,38(3):400-405. |
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| 作者姓名： | 罗治国 |
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| 作者单位： | 湖南师范大学数学系 |
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| 摘 要： | 本文讨论四元射影空间的全复子流形，证明了四元射影空间的正截面曲率紧致全复子流形一定是全测地的。
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| 关 键 词： | 四元射影空间 全复子流形 截面曲率 |
| 收稿时间： | 1992-5-11 |
| 修稿时间： | 1994-1-24 |
On Positively Curved Totally Complex Submanifolds in a Quaternion ProjectiveSpace |
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| Luo Zhiguo.On Positively Curved Totally Complex Submanifolds in a Quaternion ProjectiveSpace[J].Acta Mathematica Sinica,1995,38(3):400-405. |
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| Authors: | Luo Zhiguo |
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| Institution: | Luo Zhiguo(Deparrtment of Mathematics,Hunan Normal University, Changsha 410081,China) |
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| Abstract: | This paper consider totally complex submanifolds of quaternionic projective space.We prove that a compact totally complex submanifold with positively sectional curvature inquaternion projective space is totally geodesic. |
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| Keywords: | quaternion projective space totally complex submanifold sectional curvature |
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