| 复射影空间中全实迷向极小子流形 |
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| 引用本文： | 管梅.复射影空间中全实迷向极小子流形[J].合肥学院学报(自然科学版),2009,19(2):21-25. |
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| 作者姓名： | 管梅 |
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| 作者单位： | 合肥学院,数学与物理系,合肥,230601 |
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| 基金项目： | 合肥学院自然科学研究发展基金 |
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| 摘 要： | 设肘为复射影空间CP^n中全实迷向极小子流形，运用活动标架法并借助迷向子流形的等价条件，研究了该类子流形的刚性问题，获得关于截面曲率和第二基本形式模长的Pinching定理，在一定意义下推广和改进了有关文献中相应结果．此外，还在肘具有常数量曲率的情形下给出一个重要推论．
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| 关 键 词： | 复射影空间 迷向浸入 全实 |
Totally Real Isotropic Minimal Submanifolds in Complex Projective Space CP~n |
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| GUAN Mei.Totally Real Isotropic Minimal Submanifolds in Complex Projective Space CP~n[J].Journal of Hefei University :Natural Sciences,2009,19(2):21-25. |
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| Authors: | GUAN Mei |
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| Institution: | Department of Mathematics and Physics;Hefei University;Hefei 230601;China |
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| Abstract: | The rigidity of a given totally real isotropic minimal submanifolds was studied by using the method of moving frames and condition of equivalence of isotropic submanifolds,on condition that M be a totally real isotropic minimal submanifolds in a complex projective space CPn.Some pinching theorems on sectional curvature and the length of the second fundamental form were obtained,which generalized and improved the results of some literatures at a certain extent.Moreover,an important corollary was given when M... |
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| Keywords: | complex projective space isotropic immersion totally real |
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