信阳师范大学学报（自然科学版）2026，Vol.39Issue(2)：278-282,5.DOI:10.3969/j.issn.2097-583X.2026.02.015
一类三维圆柱域的交点域与复欧氏空间的公共子流形
Common submanifolds of the intersection of cylindrical field and complex Euclidean spaces
摘要
Abstract
The Bergman kernel function of the intersection of two cylindrical domains has an explicit form.In three-dimensional case,the Bergman kernel is not a rational function.It was proved that there was no common Kähler submanifold between the intersection of two cylindrical domains with Bergman metric and the complex Euclidean space with flat metric.关键词
圆柱域的交点域/全纯等距嵌入/Nash函数/Bergman度量Key words
intersection points of cylindrical domains/holomorphic isometric embedding/Nash function/Bergman metric分类
数理科学引用本文复制引用
程晓亮,赵一诺,马会波..一类三维圆柱域的交点域与复欧氏空间的公共子流形[J].信阳师范大学学报（自然科学版）,2026,39(2):278-282,5.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）
