Chen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds

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dc.authoridGulbahar, Mehmet/0000-0001-6950-7633
dc.authoridKILIC, Erol/0000-0001-7536-0404
dc.authorwosidGulbahar, Mehmet/ABF-7098-2020
dc.authorwosidKILIC, Erol/ABH-7615-2020
dc.contributor.authorKilic, Erol
dc.contributor.authorTripathi, Mukut Mani
dc.contributor.authorGuelbahar, Mehmet
dc.date.accessioned2024-08-04T20:41:30Z
dc.date.available2024-08-04T20:41:30Z
dc.date.issued2016
dc.departmentİnönü Üniversitesien_US
dc.description.abstractSome examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant curvature are obtained. Chen Ricci inequalities involving the Ricci tensor and the squared mean curvature for submanifolds of locally product manifolds of almost constant curvature are established. Chen Ricci inequalities for different kinds of submanifolds of Kaehlerian product manifolds are also given.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [113F388]; Scientific and Technical Research Council of Turkey (TUBITAK)en_US
dc.description.sponsorshipThe authors are thankful to the referees and Jerzy Trzeciak for their valuable comments towards the improvement of the paper. The first author is supported by 113F388 coded project of the Scientific and Technological Research Council of Turkey (TUBITAK). The second author was supported by the Scientific and Technical Research Council of Turkey (TUBITAK).en_US
dc.identifier.doi10.4064/ap3666-12-2015
dc.identifier.endpage56en_US
dc.identifier.issn0066-2216
dc.identifier.issn1730-6272
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84957927222en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage37en_US
dc.identifier.urihttps://doi.org/10.4064/ap3666-12-2015
dc.identifier.urihttps://hdl.handle.net/11616/97167
dc.identifier.volume116en_US
dc.identifier.wosWOS:000373521900002en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPolish Acad Sciences Inst Mathematics-Impanen_US
dc.relation.ispartofAnnales Polonici Mathematicien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectChen-Ricci inequalityen_US
dc.subjectalmost product Riemannian manifolden_US
dc.subjectRiemannian product manifolden_US
dc.subjectKaehlerian product manifolden_US
dc.subjectslant submanifolden_US
dc.titleChen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifoldsen_US
dc.typeArticleen_US

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