球面空间中n维Pedoe不等式

In this paper, we study the problems about geometric inequalities for two n-dimensional simplexes in the n-dimensional spherical space. The Pedoe inequality and Peng-Chang inequality involving the edge-lengths of two simplexes in the n-dimensional spherical space are established. Additionally, we also obtain some new geometric inequalities for an n-dimensional simplex in the n-dimensional spherical space .