Certain Results on Lorentzian Para-Kenmotsu Manifolds

被引：19
|
作者：
Haseeb, Abdul [1 ]
Prasad, Rajendra [2 ]
机构：
[1] Jazan Univ, Dept Math, Fac Sci, Jazan 2097, Saudi Arabia
[2] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2021年 / 39卷 / 03期
关键词：
Lorentzian para-Kenmotsu manifold; eta-Einstein manifold; Curvature tensor; Quarter-symmetric metric connection;
D O I：
10.5269/bspm.40607
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 Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection. First, we study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection satisfying the curvature conditions (R) over bar.(S) over bar = 0 and (S) over bar.(R) over bar = 0. Next, we study phi-conformally flat, phi-conharmonically flat, phi-concircularly flat, phi-projectively flat and conformally flat Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection and it is shown that in each of these cases the manifold is a generalized eta-Einstein manifold.
引用
收藏
页码：201 / 220
页数：20
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