一类华罗庚域与复欧氏空间的不相关性  

Non-Relativity of a Class of Hua Domains and Complex Euclidean Spaces

作　　者：程晓亮[1] 马会波 CHENG Xiaoliang;MA Huibo(College of Mathematics and Computer,Jilin Normal University,Siping 136000,Jilin,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林四平136000

出　　处：《武汉大学学报（理学版）》2023年第3期409-416,共8页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金(12026420)。

摘　　要：华罗庚域是Cartan-Egg域的推广,其矩阵形式要复杂得多。本文主要考虑1 p1,...,1 pr-1都是正整数,而pr是正实数时的华罗庚域,证明了这类具有Bergman度量的华罗庚域与具有平坦度量的复欧氏空间是不相关的。Hua domain is a generalization of Cartan-Egg domain. Its matrix form is much more complex. We mainly consider the Hua domain, in which 1 p_(1),...,1 p_(r-1) are the positive integers, pr is the positive real number. It is proved that Hua domain equipped with Bergman metrics is not related to complex Euclidean spaces equipped with canonical metrics.

关 键 词：华罗庚域 全纯等距嵌入 Nash函数 BERGMAN度量 

分 类 号：O174.56[理学—数学]