A study of three-dimensional paracontact ((kappa)over-tilde, (mu)over-tilde, (nu)over-tilde)-spaces

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dc.authorid0000-0003-4471-3291en_US
dc.contributor.authorErken, İrem Küpeli
dc.contributor.authorMurathan, Cengizhan
dc.date.accessioned2021-03-20T20:13:49Z
dc.date.available2021-03-20T20:13:49Z
dc.date.issued2017
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper is a study of three-dimensional paracontact metric ((kappa) over tilde, (mu) over tilde, (nu) over tilde)-manifolds. Three-dimensional paracontact metric manifolds whose Reeb vector field xi is harmonic are characterized. We focus on some curvature properties by considering the class of paracontact metric ((kappa) over tilde, (mu) over tilde, (nu) over tilde)-manifolds under a condition which is given at Definition 3.1. We study properties of such manifolds according to the cases (kappa) over tilde > -1, (kappa) over tilde = -1, (kappa) over tilde < -1 and construct new examples of such manifolds for each case. We also show the existence of paracontact metric (-1, <(mu)over tilde> not equal 0, (nu) over tilde not equal 0) spaces with dimension greater than 3, such that (h) over tilde (2) = 0 but (h) over tilde not equal 0.en_US
dc.identifier.doi10.1142/S0219887817501067en_US
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue7en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttp://doi.org/10.1142/S0219887817501067
dc.identifier.urihttps://hdl.handle.net/20.500.12885/946
dc.identifier.volume14en_US
dc.identifier.wosWOS:000401778000010en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorErken, İrem Küpeli
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/openAccessen_US
dc.subjectParacontact metric manifolden_US
dc.subjectpara-Sasakianen_US
dc.subjectcontact metric manifolden_US
dc.subject(kappa, mu)-manifolden_US
dc.titleA study of three-dimensional paracontact ((kappa)over-tilde, (mu)over-tilde, (nu)over-tilde)-spacesen_US
dc.typeArticleen_US

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