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

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dc.authoridKILIC, Erol/0000-0001-7536-0404
dc.contributor.authorKilic, Erol
dc.contributor.authorTripathi, Mukut Mani
dc.contributor.authorGuelbahar, Mehmet
dc.date.accessioned2024-12-24T19:32:51Z
dc.date.available2024-12-24T19:32:51Z
dc.date.issued2016
dc.departmentSiirt Üniversitesi
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.
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [113F388]; Scientific and Technical Research Council of Turkey (TUBITAK)
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).
dc.identifier.doi10.4064/ap3666-12-2015
dc.identifier.endpage56
dc.identifier.issn0066-2216
dc.identifier.issn1730-6272
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84957927222
dc.identifier.scopusqualityQ3
dc.identifier.startpage37
dc.identifier.urihttps://doi.org/10.4064/ap3666-12-2015
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7828
dc.identifier.volume116
dc.identifier.wosWOS:000373521900002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPolish Acad Sciences Inst Mathematics-Impan
dc.relation.ispartofAnnales Polonici Mathematici
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectChen-Ricci inequality
dc.subjectalmost product Riemannian manifold
dc.subjectRiemannian product manifold
dc.subjectKaehlerian product manifold
dc.subjectslant submanifold
dc.titleChen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds
dc.typeArticle

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