Geometric structures of sequential warped products and their relations with the gradient Ricci-Yamabe solitons

dc.contributor.authorGuler, Sinem
dc.contributor.authorKaraca, Fatma
dc.date.accessioned2026-01-31T15:09:02Z
dc.date.available2026-01-31T15:09:02Z
dc.date.issued2025
dc.departmentİstanbul Beykent Üniversitesi
dc.description.abstractIn this paper, we investigate the geometric properties of sequential warped product manifolds which is the most general concept of the warped product manifolds. We then establish some necessary and sufficient conditions for sequential warped product manifolds admitting a gradient Ricci-Yamabe soliton. We focus particularly on the triviality of the sequential warped product manifold admitting the gradient Ricci-Yamabe soliton. For the physical applications, we investigate the behavior of these solitons in sequential generalized Robertson-Walker spacetimes and sequential standard static spacetimes.
dc.description.sponsorshipScientific and Technological Research Council of Turkiye (TUBITAK) [123F237]
dc.description.sponsorshipThis study was supported by Scientific and Technological Research Council of Turkiye (TUBITAK) under the Grant Number 123F237. The authors thank to TUBITAK for their supports.
dc.identifier.doi10.2298/FIL2532563G
dc.identifier.endpage11575
dc.identifier.issn0354-5180
dc.identifier.issue32
dc.identifier.scopus2-s2.0-105025725486
dc.identifier.scopusqualityQ2
dc.identifier.startpage11563
dc.identifier.urihttps://doi.org./10.2298/FIL2532563G
dc.identifier.urihttps://hdl.handle.net/20.500.12662/10791
dc.identifier.volume39
dc.identifier.wosWOS:001640751000001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260128
dc.subjectgradient Ricci-Yamabe soliton
dc.subjectsequential warped product
dc.subjectsequential generalized Robertson-Walker spacetime
dc.subjectse-quential standard static spacetime
dc.titleGeometric structures of sequential warped products and their relations with the gradient Ricci-Yamabe solitons
dc.typeArticle

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