中文摘要：

用对曲率a一致的方法证明了：若M^m（a）为配有度量 G=1/（1＋a/4 p^2）^2m∑i=1 du^i×du^i,p^2=m∑i=1（u^i）^2的完备化单连通黎曼模型，M为M^n＋1（a）中的闭定向超曲面，则有Minkowski积分公式∫M 4-ap^2/4＋ap^2 Hk-1dA＋∫M pHkdA=0,k=1,2…，n.其中总为M的第k个平均曲率，P为支持函数．

英文摘要：

The following theorem is proved by a uniformly argument with respect to a. Let M^m（a） be the completed simply connected space form with metric G=1/（1＋a/4 p^2）^2m∑i=1 du^i×du^i,p^2=m∑i=1（u^i）^2 If M is a closed oriented hyper surface in M^n＋1（a）, then there are Minkowski integral formulas as the following ∫M 4-ap^2/4＋ap^2 Hk-1dA＋∫M pHkdA=0,k=1,2…,n where Hk is the k-th mean curvature and p is the support function.