THREE-DIMENSIONAL LORENTZIAN PARA-KENMOTSU MANIFOLDS AND YAMABE SOLITONS

被引：4
|
作者：
Pankaj [1 ]
Chaubey, Sudhakar K. [2 ]
Prasad, Rajendra [3 ]
机构：
[1] Univ Technol & Appl Sci Muscat, Math Sect, IT Dept, Muscat, Oman
[2] Univ Technol & Appl Sci Shinas, Dept Informat Technol, Sect Math, POB 77, Shinas 324, Oman
[3] Univ Lucknow, Dept Math & Astron, Lucknow, Uttar Pradesh, India
来源：
HONAM MATHEMATICAL JOURNAL | 2021年 / 43卷 / 04期
关键词：
Yamabe Soliton; eta-Yamabe soliton; Lorentzian para-Kenmotsu manifolds; curvature tensor; eta-Einstein manifold;
D O I：
10.5831/HMJ.2021.43.4.613
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the present work is to study the properties of three-dimensional Lorentzian para-Kenmotsu manifolds equipped with a Yamabe soliton. It is proved that every three-dimensional Lorentzian para-Kenmotsu manifold is Ricci semi-symmetric if and only if it is Einstein. Also, if the metric of a three-dimensional semi-symmetric Lorentzian para-Kenmotsu manifold is a Yamabe soliton, then the soliton is shrinking and the flow vector field is Killing. We also study the properties of three-dimensional Ricci symmetric and eta-parallel Lorentzian para-Kenmotsu manifolds with Yamabe solitons. Finally, we give a non-trivial example of three-dimensional Lorentzian para-Kenmotsu manifold.
引用
收藏
页码：613 / 626
页数：14
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