SEMI-PARALLEL CR SUBMANIFOLDS IN A COMPLEX SPACE FORM

被引：4

作者：

Kon, Mayuko ^{[1
]}

机构：

[1] Shinshu Univ, Fac Educ, Nagano 3808544, Japan

来源：

COLLOQUIUM MATHEMATICUM | 2011年 / 124卷 / 02期

关键词：

CR submanifold; complex space form; semi-parallel second fundamental form; recurrent second fundamental form;

D O I：

10.4064/cm124-2-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with nonzero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than 2.

引用

页码：237 / 246

页数：10