RICCI TENSOR OF REAL HYPERSURFACES

被引：9

作者：

Kon, Mayuko ^{[1
]}

机构：

[1] Shinshu Univ, Fac Educ, 6 Ro, Nagano 3808544, Japan

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2016年 / 281卷 / 01期

关键词：

real hypersurface; Ricci tensor; COHOMOGENEITY ONE ACTIONS; COMPLEX PROJECTIVE-SPACE;

D O I：

10.2140/pjm.2016.281.103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a real hypersurface of a complex space form M-n(c), c not equal 0, and suppose that the structure vector field xi is an eigen vector field of the Ricci tensor S, which satisfies S xi = beta xi where beta is a function. We show that if (del(X) S)Y is proportional to xi for any vector fields X and Y orthogonal to xi, then M is a Hopf hypersurface, and if it is perpendicular to xi, then M is a ruled real hypersurface.

引用

页码：103 / 123

页数：21

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