球面空间中的一类几何不等式

A Class of Geometric Inequalities in Spherical Space

中文关键词:  三角形  球面单形  正弦定理  几何不等式.

英文关键词:triangle  spherical simplex  spherical sine law  geometric inequality.

中文摘要:

      本文首先给出$n$维球面空间的正弦定理, 其次得到了一类几何不等式及其应用(即文中的推论).

英文摘要:

      In this paper, we give the sine law of $n$ dimensinal spherical space, and obtain a class of the geometric inequalities and its applications (that is Corrolaries 1 to 5).