局部对称Bochner-Kaehler流形中的全实2-调和子流形  

Totally Real 2-Harmonic Submanifolds of Locally Symmetric Bochner-Kaehler Manifold

作　　者：周俊东[1] 

机构地区：[1]阜阳师范学院数学系,安徽阜阳236041

出　　处：《吉林大学学报（理学版）》2008年第6期1053-1056,共4页Journal of Jilin University:Science Edition

基　　金：安徽省教育厅自然科学基金(批准号:2004KJ166ZD)

摘　　要：利用活动标架法研究2-调和全实子流形,得到了两个Pinching定理.结果表明,在局部对称Bochner-Kaehler流形中不存在具有平行平均曲率且截面曲率大于零的全实2-调和子流形.We studied totally real 2-harmonic submanifolds by moving frame, obtained two pinching theorems. We have discovered that there are no compact totally real 2-harmonic submanifolds with parallel mean curvature and positive curvature in a locally symmetric Bochner-Kaehler manifold.

关 键 词：全实子流形 2-调和 全纯截面曲率 

分 类 号：O186.12[理学—数学]