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

页码：613 / 626

页数：14

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