摘要
维数大于1时,等维单位球间逆紧全纯映射即为全纯自同构;不等维单位球间逆紧全纯映射的分类问题较为复杂.本文总结了如何从低维构造高维单位球间的逆紧全纯映射,同时在已有具体映射的基础上,给出新映射.
When the dimension is greater than 1,the proper holomorphic mapping between equal dimensional unit balls is holomorphic automorphism. The classification problem of proper holomorphic mapping between unequal dimensional unit balls is complex in content. This paper summarized how to construct the proper holomorphic mapping between high dimensional unit balls from low dimensional. At the same time,based on the existing specific mapping,a new mapping was given.
作者
程晓亮
刘阳
迟明月
孙爱慧
CHENG Xiao-liang;LIU Yang;CHI Ming-yue;SUN Ai-hui(College of Mathematics,Jilin Normal University,Siping 136000,China)
出处
《吉林师范大学学报（自然科学版）》
2019年第1期66-71,共6页
Journal of Jilin Normal University:Natural Science Edition
基金
国家自然科学基金项目(11301215)
吉林省教育厅"十三五"科学技术项目(JJKH20170369KJ
JJKH20180767KJ)
关键词
逆紧映射
全纯映射
单位球
proper mappings
holomorphic mappings
unit balls
