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Research Article | Open Access

A study of ∗-Ricci–Yamabe solitons on LP-Kenmotsu manifolds

Abdul Haseeb1( ), Fatemah Mofarreh2, Sudhakar Kumar Chaubey3( ), Rajendra Prasad4
Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia
Mathematical Science Department, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh-11546, Kingdom of Saudi Arabia
Section of Mathematics, University of Technology & Applied Sciences, Shinas, Oman
Department of Mathematics and Astronomy, University of Lucknow, Lucknow-226007, India
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Abstract

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.

Keywords

∗-Ricci–Yamabe solitonsLP-Kenmotsu manifoldsEinstein manifoldsη-Einstein manifoldsPoisson's equation
CLC number: 53C21, 53C25, 53C50, 53C80, 53E20

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 22532-22546
DOI: 10.3934/math.20241096

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Cite this article:
Haseeb A, Mofarreh F, Chaubey SK, et al. A study of ∗-Ricci–Yamabe solitons on LP-Kenmotsu manifolds. AIMS Mathematics, 2024, 9(8): 22532-22546. https://doi.org/10.3934/math.20241096

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Received: 11 June 2024
Revised: 10 July 2024
Accepted: 16 July 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)