A study of *-Ricci-Yamabe solitons on LP-Kenmotsu manifolds

被引：0

作者：

Haseeb, Abdul ^{[1
]}

Mofarreh, Fatemah ^{[2
]}

Chaubey, Sudhakar Kumar ^{[3
]}

Prasad, Rajendra ^{[4
]}

机构：

[1] Jazan Univ, Coll Sci, Dept Math, POB 114, Jazan 45142, Saudi Arabia

[2] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia

[3] Univ Technol & Appl Sci, Sect Math, Shinas, Oman

[4] Univ Lucknow, Dept Math & Astron, Lucknow 226007, India

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 08期

关键词：

*-Ricci-Yamabe solitons; LP-Kenmotsu manifolds; Einstein manifolds; it-Einstein manifolds; Poisson's equation;

D O I：

10.3934/math.20241096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we characterize LP-Kenmotsu manifolds admitting *-Ricci-Yamabe solitons (*-RYSs) and gradient *-Ricci-Yamabe solitons (gradient *-RYSs). It is shown that an LP-Kenmotsu manifold of dimension n admitting a *-Ricci-Yamabe soliton obeys Poisson's equation. We also determine the necessary and sufficient conditions under which the Laplace equation is satisfied by LP-Kenmotsu manifolds. Finally, by using a non-trivial example of an LP-Kenmotsu manifold, we verify some results of our paper.

引用

页码：22532 / 22546

页数：15

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