中文摘要：

本文研究了子流形的F-调和映射的稳定性.利用计算二阶变分公式的方法,得到了以欧氏空间的某些子流形为起始流形或者目标流形的稳定的F-调和映射必定是常值映射,推广了文献[3]中的结论.

英文摘要：

In this article, we study the stability of F-harmonic maps. By calculating the second variations, we obtain that stable F-harmonic maps with submanifolds of Euclidean space as initial or target manifolds must be constant, which generalizes the results of [3].