On projective invariants of general spherically symmetric Finsler spaces in Rn

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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.issued2022
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractIn this paper we discuss projective invariants of general spherically symmetric Finsler metrics in R-n. We obtain the necessary and sufficient conditions for the metrics to be projectively Ricci flat, Weyl and W-quadratic types. In particular, we use the spray theory to give a short proof of the well-known theorem, that is, Finsler manifold is of scalar flag curvature if and only if F is Weyl metric . Therefore, considering the technique of the proof, we obtain a necessary and sufficient condition for the metrics of scalar flag curvature to be Weyl metric. Also, under a certain condition, we prove that projectively Ricci flat general spherically symmetric metrics coincide with the Douglas type metric.(c) 2022 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.difgeo.2022.101869
dc.identifier.issn0926-2245
dc.identifier.issn1872-6984
dc.identifier.scopus2-s2.0-85126852426en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.difgeo.2022.101869
dc.identifier.urihttps://hdl.handle.net/11411/7319
dc.identifier.volume82en_US
dc.identifier.wosWOS:000791784300007en_US
dc.identifier.wosqualityQ4en_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.subjectGeneral Spherically Symmetricen_US
dc.subjectFinsler Metricsen_US
dc.subjectProjective Ricci Curvatureen_US
dc.subjectWeyl Metricen_US
dc.subjectW-Quadraticen_US
dc.subjectMetricsen_US
dc.subjectCurvatureen_US
dc.titleOn projective invariants of general spherically symmetric Finsler spaces in Rn
dc.typeArticle

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