Scalar curvature of Lagrangian Riemannian submersions and their harmonicity

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dc.authoridKILIC, Erol/0000-0001-7536-0404
dc.authoridEken Meric, Semsi/0000-0003-2783-1149
dc.authorwosidEken meric, Semsi/JVZ-5932-2024
dc.authorwosidKILIC, Erol/ABH-7615-2020
dc.authorwosidEken Meric, Semsi/P-1889-2018
dc.contributor.authorMeric, Semsi Eken
dc.contributor.authorKilic, Erol
dc.contributor.authorSagiroglu, Yasemin
dc.date.accessioned2024-08-04T20:43:58Z
dc.date.available2024-08-04T20:43:58Z
dc.date.issued2017
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we consider a Lagrangian Riemannian submersion from a Hermitian manifold to a Riemannian manifold and establish some basic inequalities to obtain relationships between the intrinsic and extrinsic invariants for such a submersion. Indeed, using these inequalities, we provide necessary and sufficient conditions for which a Lagrangian Riemannian submersion pi has totally geodesic or totally umbilical fibers. Moreover, we study the harmonicity of Lagrangian Riemannian submersions and obtain a characterization for such submersions to be harmonic.en_US
dc.identifier.doi10.1142/S0219887817501717
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85028528574en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S0219887817501717
dc.identifier.urihttps://hdl.handle.net/11616/97951
dc.identifier.volume14en_US
dc.identifier.wosWOS:000416177800003en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Geometric Methods in Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCurvatureen_US
dc.subjectHermitian manifolden_US
dc.subjectRiemannian submersionen_US
dc.titleScalar curvature of Lagrangian Riemannian submersions and their harmonicityen_US
dc.typeArticleen_US

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