二维子流形M■IR^(2+p)上向量场的一个性质

A CERTAIN PROPERTY OF THE FIELD ON TWO-DIMENSIONAL SUBMANIFOLD M

设M是浸入丝2+p中的一个二维子流形,V:M→2+p是M上的一个向量场。那么,V在什么条件下是零向量场?本文从整体角度在一个方面回答了这一问题。

In this paper, we've got a sufficient condition under which the vector field on two-dimensional submanifold M^(2+p) is equal to zero vector field, and then we've pointed out its application in infinitesimal I-isometry.