The relationships between the intrinsic arid the extrinsic invariants of submanifolds in generalized complex space forms are studied, and the inequalities of the mean curvature and an intrinsic invariant are obtained.

• 摘要讨论了广义复空间形式的子流形的内蕴不变量与外蕴不变量之间的关系，利用高斯方程得到了子流形的平均区率这个外蕴不变量与一个内蕴不变量之间的不等式结论，给出了等式成立的充分必要条件。