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
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
收藏
页码:511 / 532
页数:22
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