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曲面到复Grassmann流形调和映照的迷向性质
引用本文:吴炳烨. 曲面到复Grassmann流形调和映照的迷向性质[J]. 闽江学院学报, 2006, 27(2): 8-11
作者姓名:吴炳烨
作者单位:闽江学院数学系,福建,福州,350108
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.

关 键 词:复Grassmann流形  调和映照  迷向阶  Gauss曲率
文章编号:1009-7821(2006)02-008-04
收稿时间:2006-01-04
修稿时间:2006-01-04

On the Isotropy of Harmonic Maps from Surfaces into Complex Grassmann Manifolds
WU Bing-ye. On the Isotropy of Harmonic Maps from Surfaces into Complex Grassmann Manifolds[J]. Journal of Minjiang University, 2006, 27(2): 8-11
Authors:WU Bing-ye
Abstract:We use the generalized Frenet formulas to study the isotropy of harmonic maps from surfaces into complex Grassmann manifolds and provide a new sufEicient condidon to ensure the isotropy of hannonic maps. For non-isotropic harmonic maps we obtain a curvature Pinching property which depends on the isotropy order.
Keywords:complex Grassmann manifold  harmonic map  isotropy order  Gauss curvature
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