On gradient normalized Ricci-harmonic solitons in sequential warped products

Noura Alhouiti; Fatemah Mofarreh; Akram Ali; Fatemah Abdullah Alghamdi

doi:10.3934/math.20241129

On gradient normalized Ricci-harmonic solitons in sequential warped products

Noura Alhouiti
, Fatemah Mofarreh
, Akram Ali^*
, Fatemah Abdullah Alghamdi

^*Corresponding author for this work

Administrative Sciences Department

University of Tabuk
Princess Nourah Bint Abdulrahman University
King Khalid University

Research output: Contribution to journal › Article › peer-review

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].

Original language	English
Pages (from-to)	23221-23233
Number of pages	13
Journal	AIMS Mathematics
Volume	9
Issue number	9
DOIs	https://doi.org/10.3934/math.20241129
State	Published - 2024

Keywords

gradient normalized Ricci-harmonic soliton
sequential standard static space-time
sequential warped product
sequentially generalized Robertson-Walker space-time

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10.3934/math.20241129

Cite this

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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].",

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AU - Ali, Akram

AU - Alghamdi, Fatemah Abdullah

PY - 2024

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AB - 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].

KW - gradient normalized Ricci-harmonic soliton

KW - sequential standard static space-time

KW - sequential warped product

KW - sequentially generalized Robertson-Walker space-time

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DO - 10.3934/math.20241129

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On gradient normalized Ricci-harmonic solitons in sequential warped products

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Keywords

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