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
收藏
页码：103 / 123
页数：21
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