| 复射影空间CPn+p中的全实2-调和子流形 |
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| 引用本文： | 刘敏,宋卫东.复射影空间CPn+p中的全实2-调和子流形[J].数学杂志,2012,32(1):129-134. |
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| 作者姓名： | 刘敏 宋卫东 |
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| 作者单位： | 安徽师范大学数学计算机科学学院,安徽芜湖,241000 |
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| 基金项目： | 安徽省高等学校优秀青年人才基金，安徽省高等学校省级自然科学研究项目 |
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| 摘 要： | 本文研究了复射影空间中的全实2 -调和子流形问题.利用活动标架法,获得了这类子流形成为极小子流形的关于第二基本形式模长的Pinching定理及一个积分不等式.此外还得到关于全实2-调和伪脐子流形的一些刚性定理,推广了CPn中全实2-调和子流形的一些相应结果.
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| 关 键 词： | 复射影空间 2-调和子流形 伪脐子流形 全测地 |
TOTALLY REAL 2-HARMONIC SUBMANIFOLDS IN THE COMPLEX PROJECTIVE SPACE |
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| LIU Min
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SONG Wei-dong.TOTALLY REAL 2-HARMONIC SUBMANIFOLDS IN THE COMPLEX PROJECTIVE SPACE[J].Journal of Mathematics,2012,32(1):129-134. |
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| Authors: | LIU Min SONG Wei-dong |
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| Institution: | (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | In this article,the authors study the totally real 2-harmonic submanifolds in the complex projective space.By method of moving frame,we obtain a pinching theorem of the length of the second fundamental form and an integral inequality.Moreover,the authors also obtain some rigidity theorems of the totally real 2-harmonic and pseudo-umbilical submanifolds and improve the results of the totally real 2-harmonic in low dimensional complex projective spaces. |
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| Keywords: | complex projective space 2-harmonic submanifolds pseudo-umbilical subman-ifolds totally geodesic |
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