On 3-dimensional Kenmotsu manifolds

被引：0

作者：

De, UC ^{[1
]}

Pathak, G ^{[1
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2004年 / 35卷 / 02期

关键词：

Kenmotsu manifold; locally phi-symmetric; eta-parallel Ricci tensor; manifold of constant negative curvature;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of the present paper is to study a 3-dimensional Kenmotsu manifold satisfying certain curvature conditions. Among other it is proved that a 3-dimensional Kenmotsu manifold with eta-parallel Ricci tensor is of constant scalar curvature and a 3-dimensional Kenmotsu manifold satisfying cyclic Ricci tensor is a manifold of constant negative curvature-1.

引用

页码：159 / 165

页数：7

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