曲面到复Grassmann流形调和映照的迷向性质  

On the Isotropy of Harmonic Maps from Surfaces into Complex Grassmann Manifolds

作　　者：吴炳烨[1] 

机构地区：[1]闽江学院数学系,福建福州350108

出　　处：《闽江学院学报》2006年第2期8-11,共4页Journal of Minjiang University

摘　　要：利用广义Frenet公式,研究曲面到复Grassmann流形调和映照的迷向性质,给出了调和映照迷向的新的充分条件．对于非迷向的调和映照,得到了与其迷向阶有关的曲率Pinching性质．We use the generalized Frenet formulas to study the isotropy of harmonic maps from surfaces into complex Gressmann manifolds and provide a new sufficient condition to ensure the isotropy of harmonic maps.For non-isotropic harmonic maps we obtain a curvature Pinching property which depends on the isotropy order.

关 键 词：复Grssmann流形 调和映照 迷向阶 GAUSS曲率 

分 类 号：O186.11[理学—数学]