摘要
给出了n维双曲型空间中有限共球点集的一个度量嵌入定理,同时将n维欧氏空间中共球点集的一些几何不等式推广到n维双曲型空间。
This paper gives a metric imbedding theorem about a finite point set on sphere in n-demensional Hyperbolic. Some geometric inequalities about finite point set on a sphere in n-demensional Euclidean space are generalized to n-demensional Hyperbolic space.
关键词
双曲型空间
共球点集
度量嵌入
度量不等式
Hyperbolic space
Point set on a sphere
Congruent imbedding
Geometric inequalities
Pseudo-symmetric point set
