摘要
本文首先建立球面型空间中度量平均的概念，其次讨论度量平均过程中一些几何不变量之间的关系，最后举例说明度量平均在解决球面型空间中几何极值问题时的应用．
In this paper, we first establish the concept of metric averaging in spherical space, and then discuss relations among some geometrical invariants in the process of metric averaging. Finally, we gave an example to show the applications of metric averaging in solving geometric extremal problem in spherical space.
关键词
球面型空间
度量平均
几何极值
spherical space, metric averaging, geometric extreme value.
