A study of $ * $-Ricci–Yamabe solitons on $ LP $-Kenmotsu manifolds-Reference-Cited by-同舟云学术

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

Published:2024 Issue:8 Volume:9 Page:22532-22546
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Haseeb Abdul¹,Mofarreh Fatemah²,Chaubey Sudhakar Kumar³,Prasad Rajendra⁴

Affiliation:

1. Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia

2. Mathematical Science Department, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh-11546, Kingdom of Saudi Arabia

3. Section of Mathematics, University of Technology & Applied Sciences, Shinas, Oman

4. Department of Mathematics and Astronomy, University of Lucknow, Lucknow-226007, India

Abstract

<p>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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