COMPLEX SUBMANIFOLDS OF INDEFINITE COMPLEX SPACE FORMS

被引：1
|
作者：
Cheng, Xiaoliang [1 ]
Hao, Yihong [2 ]
Yuan, Yuan [3 ]
Zhang, Xu [4 ]
机构：
[1] Jilin Normal Univ, Dept Math, Siping 136000, Jilin, Peoples R China
[2] Northwest Univ, Dept Math, Xian 710127, Shaanxi, Peoples R China
[3] Syracuse Univ, Dept Math, Syracuse, NY 13205 USA
[4] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Heilongjiang, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Complex submanifolds; Fubini-Study spaces; indefinite K & auml; hler met rics; isometric embedding; Nash algebraic;
D O I：
10.1090/proc/16743
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this short paper, we derive a new result on Umehara algebra. As a consequence, we prove that an indefinite complex hyperbolic space and an indefinite complex projective space do not share a common complex submanifold with induced metrics, answering a question raised in Cheng et al.
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页码：2541 / 2550
页数：10
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