Cassini度量的一些性质  

Some properties of the Cassinian metric

作　　者：吴银瓶 王根娣 WU Yinping;WANG Gendi(School of Science,Zhejiang Sci-Tech University,Hangzhou 310018,China)

机构地区：[1]浙江理工大学理学院,杭州310018

出　　处：《浙江理工大学学报（自然科学版）》2020年第6期865-870,共6页Journal of Zhejiang Sci-Tech University(Natural Sciences)

基　　金：This research is supported by National Natural Science Foundation of China(NNSFC)(Grant No.11771400 and No.11601485);Science Foundation of Zhejiang Sci-Tech University(ZSTU)(Grant No.16062023-Y)。

摘　　要：在单位圆盘和上半平面中,运用所研究的Cassini度量的特殊公式来获得Cassini度量的上下界;并且证明了Cassini度量与双曲度量在单位球和上半空间的比较不等式。In this paper,the authors obtain the upper and lower bounds of the Cassinian metric in the unit disk and the upper half plane by studying some special formulas of the Cassinian metric.Moreover,they prove the inequalities between the Cassinian metric and the hyperbolic metric in the unit ball and the upper half space.

关 键 词：Cassini度量 双曲度量 界 

分 类 号：O174.5[理学—数学]