| 复射影空间中具有平坦法丛的一般极小子流形的注记 |
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| 引用本文： | 尹松庭,宋卫东.复射影空间中具有平坦法丛的一般极小子流形的注记[J].纯粹数学与应用数学,2011,27(3):343-347. |
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| 作者姓名： | 尹松庭 宋卫东 |
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| 作者单位： | 1. 铜陵学院数学与计算机系,安徽铜陵,244000
2. 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： | 安徽省教育厅自然科学研究重点项目(KJ2008A05ZC) |
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| 摘 要： | 设Mn是复射影空间CPn+p/2中具有平坦法丛的一般极小子流形.该文研究了这种子流形的曲率性质与几何性质之间的关系.运用活动标架法,得到关于Ricci曲率和第二基本形式模长的刚性定理,完善了已有文献的相关结果.此外,该文还得到具有平坦法丛的一般子流形一个重要性质.
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| 关 键 词： | 复射影空间 一般子流形 极小子流形 平坦法丛 |
A note on generic minimal submanifold with flat normal bundle in a complex projective space |
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| YIN Song-ting,SONG Wei-dong.A note on generic minimal submanifold with flat normal bundle in a complex projective space[J].Pure and Applied Mathematics,2011,27(3):343-347. |
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| Authors: | YIN Song-ting SONG Wei-dong |
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| Institution: | YIN Song-ting 1,SONG Wei-dong 2(1.Department of Mathematics and Computer Science,Tongling College,Tongling 244000,China,2.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | Let Mn be generic minimal submanifold in a complex projective space CP n2+p.In this paper,the authors study the relation between their properties of curvature and geometry of these types submanifolds.By using moving frame-method,the rigidity theorems on Ricci curvature and the length of second fundamental form are obtained which improve some results of the relevant literatures.Moreover,the authors also get an important property of generic submanifuld with flat normal bundle. |
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| Keywords: | complex projective space generic submanifold minimal submanifold flat norm bundle |
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