Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric

被引：6

作者：

Yao, Zeke ^{[1
]}

Yin, Bangchao ^{[1
]}

Hu, Zejun ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2022年 / 65卷 / 01期

关键词：

Complex quadric; complex hyperbolic quadric; conformally flat hypersurface; real hypersurface; U-principal; Tsinghua principle; KAHLER S-3; SUBMANIFOLDS;

D O I：

10.4153/S0008439521000084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by applying for a new approach of the so-called Tsinghua principle, we prove the nonexistence of locally conformally flat real hypersurfaces in both the m-dimensional complex quadric Q(m) and the complex hyperbolic quadric Q(m)* for m >= 3.

引用

页码：68 / 83

页数：16

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