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.
作者
程晓亮
马会波
CHENG Xiaoliang;MA Huibo(College of Mathematics and Computer,Jilin Normal University,Siping 136000,Jilin,China)
出处
《武汉大学学报(理学版)》
CAS
CSCD
北大核心
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)。
作者简介
程晓亮,男,教授,现从事多复变与复几何方面的研究。E-mail:chengxiaoliang92@163.com。