中文摘要：

本文研究了Rn中平坦的外平行体的平均曲率积分.利用积分几何的方法和凸体理论的相关知识,得到了这些平均曲率积分的均值.作为推论,我们得到了这些平均曲率积分所对应的均质积分的均值.

英文摘要：

In this paper,we investigate the mean curvature integrals of a flattened outer parallel body in Rn.By the method of integral geometry and related knowledge of convex body theory,we obtain the mean values of these mean curvature integrals.As consequences,the mean values of the corresponding quermassintegrals are achieved.