On three dimensional quasi-Sasakian manifolds

被引：0

作者：

Ghosh, Nandan ^{[1
]}

Tarafdar, Manjusha ^{[2
]}

机构：

[1] Asutosh Coll, Dept Math, Kolkata 700019, W Bengal, India

[2] Univ Calcutta, Dept Pure Math, Kolkata 700019, W Bengal, India

来源：

TBILISI MATHEMATICAL JOURNAL | 2016年 / 9卷 / 01期

关键词：

Quasi-Sasakian manifold; Eigen values;

D O I：

10.1515/tmj-2016-0003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a 3-dimensional quasi-Sasakian manifold. Olszak [6] proved that M is conformally at with constant scalar curvature and hence its structure function beta is constant. We have shown that in such M, a second order symmetric parallel tensor is a constant multiple of the associated metric tensor. A necessary and sufficient condition for such a manifold to be minimal has been obtained. Finally if such M satisfies R(X,Y).S = 0, then, S has two different non-zero eigen values.

引用

页码：23 / 28

页数：6

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