REAL HYPERSURFACES OF A NONFLAT COMPLEX SPACE FORM IN TERMS OF THE RICCI TENSOR

被引：3

作者：

Ki, U-Hang ^{[1
]}

Nagai, Setsuo ^{[2
]}

机构：

[1] Kyungpook Natl Univ, Dept Math, Daegu 702701, South Korea

[2] Toyama Univ, Fac Educ, Dept Math, Toyama 9308555, Japan

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2005年 / 29卷 / 02期

关键词：

real hypersurfaces; Ricci tensor; the structure vector;

D O I：

10.21099/tkbjm/1496164968

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We know the fact that there are no real hypersurfaces with parallel Ricci tensors in a nonflat complex space form (cf. [5]). In this paper we investigate real hypersurfaces in a nonflat complex space form using some conditions of the Ricci tensor S which are weaker than VS = 0. We characterize Hopf hypersurfaces of a non flat complex space form.

引用

页码：511 / 532

页数：22

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