摘要
本文利用活动标架的标准方法和G(k,n)的内在几何得到了从Riemann曲面到G(k,n)的调和映射的另一等价条件,再利用Gauss映射将〔3〕中相应结果推广到始流形为任意Kaehler流形的情形.
In this paper we get another equal value condition[3] of the harmonic maps of the Riemann surface into G(k,n)by utilizing the standard method of moving frames and the internal geometry of G(k, n). And furthermore we use Gauss maps to extend the corresponding results of (3) to the situation in which the initial manifold is of an arbitrary kaehler manifold.
关键词
流形
映射
KAEHLER流形
kachler manifold
grassmann manifold
harmonic map
