On gradient normalized Ricci-harmonic solitons in sequential warped products-Reference-Cited by-同舟云学术

On gradient normalized Ricci-harmonic solitons in sequential warped products

Published:2024 Issue:9 Volume:9 Page:23221-23233
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alhouiti Noura¹,Mofarreh Fatemah²,Ali Akram³,Alghamdi Fatemah Abdullah⁴

Affiliation:

1. Department of Basic Sciences, University College of Haqel, University of Tabuk, 71491 Tabuk, Saudi Arabia

2. Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University. Riyadh 11546, Saudi Arabia

3. Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia

4. Financial Sciences Department, Applied College, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia

Abstract

<p>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 <sup>[<xref ref-type="bibr" rid="b26">26</xref>]</sup>.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference31 articles.

1. A. Abolarinwa, Evolution and monotonicity of the first eigenvalue of $p$-Laplacian under the Ricci-harmonic flow, J. Appl. Anal., 21 (2015), 147–160. https://doi.org/10.1515/jaa-2015-0013

2. A. Abolarinwa, Gap theorems for compact almost Ricci-harmonic solitons, Int. J. Math., 30 (2019), 1950040. https://doi.org/10.1142/S0129167X1950040X

3. A. Abolarinwa, N. K. Oladejo, S. O. Salawu, On the entropy formulas and solitons for the Ricci-harmonic flow, Bull. Iran. Math. Soc., 45 (2019), 1177–1192. https://doi.org/10.1007/s41980-018-00192-1

4. A. Abolarinwa, Y. Chong, D. Zhang, On the spectrum of the $p$-biharmonic operator under the Ricci flow, Results Math., 75 (2020), 54. https://doi.org/10.1007/s00025-020-1182-9

5. A. Anselli, On the rigidity of harmonic-Ricci solitons, Adv. Geom., 22 (2022), 171–198. https://doi.org/10.1515/advgeom-2022-0003