复Grassmann流形中伪全纯曲线的结构

Structure of Pseudo-Holomorphic Curves in Grassmann Manifolds

设Ｍ是黎曼曲面，ｆ：Ｍ→Ｇ（ｍ，Ｎ）是全纯映照，我们证明了：若ｆ完全分裂，则由ｆ生成的伪全纯曲线是完全分裂的以及两维球面到复Ｇｒａｓｓｍａｎｎ流形的伪全纯曲线是完全分裂的．

Let M be a Riemann surface and F:M→G (m,N)be a holomorphic map.We show that if f is completely split , then the pseudo-holomorphic curves generated by f and tbose from two-sphere to coInplex Grassniann manifolds are eompletely split.