On Compact Trans-Sasakian Manifolds

被引：2

作者：

Al-Dayel, Ibrahim ^{[1
]}

Deshmukh, Sharief ^{[2
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia

[2] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2022年 / 2022卷

关键词：

D O I：

10.1155/2022/9239897

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study 3-dimensional compact and simply connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds. The first two results deal with finding necessary and sufficient conditions on a compact and simply connected trans-Sasakian manifold to be homothetic to an Einstein Sasakian manifold and in the third result deals with finding necessary and sufficient condition on a compact and simply connected trans-Sasakian manifold to be homothetic to a Sasakian manifold.

引用

页数：6

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