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Research Article | Open Access

On gradient normalized Ricci-harmonic solitons in sequential warped products

Noura Alhouiti1, Fatemah Mofarreh2, Akram Ali3( ), Fatemah Abdullah Alghamdi4
Department of Basic Sciences, University College of Haqel, University of Tabuk, 71491 Tabuk, Saudi Arabia
Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University. Riyadh 11546, Saudi Arabia
Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia
Financial Sciences Department, Applied College, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia
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Abstract

Our investigation involved sequentially warped product manifolds that contained gradient-normalized Ricci-harmonic solitons. We presented the primary connections for a gradient-normalized Ricci-harmonic soliton on sequential warped product manifolds. In practical applications, our research investigated gradient-normalized Ricci-harmonic solitons for sequential generalized Robertson-Walker spacetimes and sequential standard static space-times. Our finding generalized all results proven in [26].

Keywords

gradient normalized Ricci-harmonic solitonsequential warped productsequentially generalized Robertson-Walker space-timesequential standard static space-time
CLC number: 53C21, 53C25, 53C50

References

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 23221-23233
DOI: 10.3934/math.20241129

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Cite this article:
Alhouiti N, Mofarreh F, Ali A, et al. On gradient normalized Ricci-harmonic solitons in sequential warped products. AIMS Mathematics, 2024, 9(9): 23221-23233. https://doi.org/10.3934/math.20241129

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Received: 22 March 2024
Revised: 30 April 2024
Accepted: 14 May 2024
Published: 15 September 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)