Publication:
On 3-dimensional generalized (kappa, mu)-contact metric manifolds

dc.contributor.authorShaikh, Absos Ali
dc.contributor.authorBhaishya, K. K.
dc.contributor.buuauthorArslan, Kadri
dc.contributor.buuauthorMurathan, Cengizhan
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0001-9331-7960
dc.contributor.researcheridAAG-8775-2021
dc.contributor.researcheridABH-3658-2020
dc.contributor.scopusid6603079141
dc.contributor.scopusid6506718146
dc.date.accessioned2024-03-12T05:58:24Z
dc.date.available2024-03-12T05:58:24Z
dc.date.issued2007
dc.description.abstractIn the present study, we considered 3-dimensional generalized (kappa, mu)-contact metric manifolds. We proved that a 3-dimensional generalized (kappa, mu)-contact metric manifold is not locally phi-symmetric in the sense of Takahashi. However such a manifold is locally phi-symmetric provided that kappa and mu are constants. Also it is shown that if a 3-dimensional generalized (kappa, mu) -contact metric manifold is Ricci-symmetric, then it is a (kappa, mu)-contact metric manifold. Further we investigated certain conditions under which a generalized (kappa, mu)-contact metric manifold reduces to a (kappa, mu)-contact metric manifold. Then we obtain several necessary and sufficient conditions for the Ricci tensor of a generalized (kappa, mu)-contact metric manifold to be eta-parallel. Finally, we studied Ricci-semisymmetric generalized (kappa, mu)-contact metric manifolds and it is proved that such a manifold is either flat or a Sasakian manifold.
dc.identifier.citationShaikh, A. A. vd. (2007). "On 3-dimensional generalized (kappa, mu)-contact metric manifolds". Balkan Journal of Geometry and its Applications, 12(1), 122-134.
dc.identifier.eissn1843-2875
dc.identifier.endpage134
dc.identifier.issn1224-2780
dc.identifier.issue1
dc.identifier.scopus2-s2.0-34548348357
dc.identifier.startpage122
dc.identifier.urihttps://hdl.handle.net/11452/40341
dc.identifier.volume12
dc.identifier.wos000254879800012
dc.language.isoen
dc.publisherBalkan Soc Geometers
dc.relation.collaborationYurt dışı
dc.relation.journalBalkan Journal of Geometry and its Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMathematics
dc.subjectη-parallel Ricci tensor
dc.subjectGeneralized (κ, μ)-contact manifolds
dc.subjectLocally φ-symmetric
dc.subjectSasakian manifold
dc.subject.scopusWarped Product; Kaehler Manifold; Sasakian Space Form
dc.subject.wosMathematics, applied
dc.subject.wosMathematics
dc.titleOn 3-dimensional generalized (kappa, mu)-contact metric manifolds
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atWOS
local.indexed.atScopus

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