数学杂志2026，Vol.46Issue(5)：249-256,8.
圆型齐性域上一类华罗庚域与复欧氏空间的公共子流形
COMMON SUBMANIFOLDS OF A CLASS OF HUA DOMAINS BASED ON CIRCULAR HOMOGENEITY DOMAINS AND COMPLEX EUCLIDEAN SPACES
摘要
Abstract
The problem of common submanifolds between certain domains with specific metrics and different complex spaces has long been a hot research topic in multi complex variables.Based on the research of Ma et al regarding the irrelevance of Hua do-mainsE(q1,q2,…,qm,Ω;1,p2,…,pm)and complex Euclidean spaces,this paper overcomes the limitation of fixing the parameter at 1 and generalizes it to a class of Hua domains EΩ=E(q1,…,qm,Ω;p1,…,pm)on circular homogeneous domains.It is proven that there is no common Kähler submanifolds between domains EΩ with Bergman metric and complex Euclidean spaces with flat metric,indicating that the two are not related.关键词
华罗庚域/全纯等距嵌入/Nash函数/复欧氏空间Key words
Hua domain/holomorphic isometric embedding/Nash function/complex Euclidean spaces分类
数理科学引用本文复制引用
程晓亮,张宏旭,付瑀..圆型齐性域上一类华罗庚域与复欧氏空间的公共子流形[J].数学杂志,2026,46(5):249-256,8.基金项目
国家自然科学基金项目(12026420) （12026420）
吉林省科技发展计划项目(YDZJ202201ZYTS627) （YDZJ202201ZYTS627）
吉林省教育厅"十三五"科学技术项目(JJKH20200405KJ). （JJKH20200405KJ）
