Trans-Sasakian Manifolds Homothetic to Sasakian Manifolds

被引：28
|
作者：
Deshmukh, Sharief [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期
关键词：
Almost contact metric manifold; Sasakian manifold; trans-Sasakian manifold; Poisson equation;
D O I：
10.1007/s00009-015-0666-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, it is shown that for a 3-dimensional compact simply connected trans-Sasakian manifold of type , the smooth functions satisfy the Poisson equations , and , respectively, if and only if it is homothetic to a Sasakian manifold. We also find a necessary and sufficient condition for a connected 3-dimensional trans-Sasakian manifold of type in terms of a differential equation satisfied by the smooth function to be homothetic to a Sasakian manifold.
引用
收藏
页码：2951 / 2958
页数：8
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