| 四元数射影空间中常数量曲率的完备全实伪脐子流形 |
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| 引用本文： | 朱静勇,宋卫东.四元数射影空间中常数量曲率的完备全实伪脐子流形[J].吉林大学学报(理学版),2011,49(5):865-869. |
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| 作者姓名： | 朱静勇 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： | 安徽省教育厅自然科学基金(批准号:KJ2008A05zC); 中国科协科普研究专项基金(批准号:2011KPYJD08) |
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| 摘 要： | 利用广义极大值原理和自伴随微分算子研究四元数射影空间中常数量曲率完备全实伪脐子流形的Pinching问题, 得到了两个该流形成为全测地或全脐的刚性定理.
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| 关 键 词： | 四元数射影空间 常数量曲率 伪脐 |
| 收稿时间： | 2010-10-20 |
Complete Totally Real Pseudo-umbilical Submanifolds with Constant Scalar Curvature in a Quaternion Projective Space |
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| ZHU Jing-yong,SONG Wei-dong.Complete Totally Real Pseudo-umbilical Submanifolds with Constant Scalar Curvature in a Quaternion Projective Space[J].Journal of Jilin University: Sci Ed,2011,49(5):865-869. |
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| Authors: | ZHU Jing-yong SONG Wei-dong |
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| Institution: | College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui Province, China |
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| Abstract: | The authors studied the Pinching problem on submanifolds with constant scalar curvature in a quaternion projective space by means of the generalized maximal principle and self-adjoint differential operator,and obtained two rigidity theorems for submanifolds to be totally geodesic or totally umblilic. |
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| Keywords: | quaternion projective space constant scalar curvature pseudo-umbilical |
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