The S-curvature of Finsler warped product metrics

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dc.contributor.authorGabrani, Mehran
dc.contributor.authorRezaei, Bahman
dc.contributor.authorSevim, Esra Sengelen
dc.date.accessioned2024-07-18T20:42:32Z
dc.date.available2024-07-18T20:42:32Z
dc.date.issued2024
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractThe class of warped product metrics can often be interpreted as key space models for general theory of relativity and in the theory of space-time structure. In this paper, we study one of the most important non -Riemannian quantities in Finsler geometry which is called the S -curvature. We examined the behavior of the S -curvature in the Finsler warped product metrics. We are going to prove that every Finsler warped product metric R x Rn has almost isotropic S -curvature if and only if it is a weakly Berwald metric. Moreover, we show that every Finsler warped product metric has isotropic S -curvature if and only if S -curvature vanishes. (c) 2023 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.difgeo.2023.102105
dc.identifier.issn0926-2245
dc.identifier.issn1872-6984
dc.identifier.scopus2-s2.0-85183521776en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.difgeo.2023.102105
dc.identifier.urihttps://hdl.handle.net/11411/7320
dc.identifier.volume93en_US
dc.identifier.wosWOS:001170703800001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofDifferential Geometry and Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFinsler Warped Product Manifolden_US
dc.subjectS-Curvatureen_US
dc.subjectWeakly Berwald Manifoldsen_US
dc.titleThe S-curvature of Finsler warped product metrics
dc.typeArticle

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