Yamabe solitons on three-dimensional normal almost paracontact metric manifolds

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dc.contributor.authorKüpeli Erken, İrem
dc.date.accessioned2021-03-20T20:12:25Z
dc.date.available2021-03-20T20:12:25Z
dc.date.issued2019
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe purpose of the paper is to study Yamabe solitons on three-dimensional para-Sasakian, paracosymplectic and para-Kenmotsu manifolds. Mainly, we prove that the following: If the semi-Riemannian metric of a three-dimensional para-Sasakian manifold is a Yamabe soliton, then it is of constant scalar curvature, and the flow vector field is Killing. In the next step, we prove that either the manifold has constant curvature - or is an infinitesimal automorphism of the paracontact metric structure on the manifold. If the semi-Riemannian metric of a three-dimensional paracosymplectic manifold is a Yamabe soliton, then it has constant scalar curvature. Furthermore either the manifold is eta-Einstein, or Ricci flat. If the semi-Riemannian metric on a three-dimensional para-Kenmotsu manifold is a Yamabe soliton, then the manifold is of constant sectional curvature -1. Furthermore, Yamabe soliton is expanding with lambda=-6. Finally, we construct examples to illustrate the results obtained in previous sections.en_US
dc.identifier.doi10.1007/s10998-019-00303-3en_US
dc.identifier.endpage184en_US
dc.identifier.issn0031-5303
dc.identifier.issn1588-2829
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage172en_US
dc.identifier.urihttp://doi.org/10.1007/s10998-019-00303-3
dc.identifier.urihttps://hdl.handle.net/20.500.12885/544
dc.identifier.volume80en_US
dc.identifier.wosWOS:000499560100001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKüpeli Erken, İrem
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofPeriodica Mathematica Hungaricaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPara-Sasakian manifolden_US
dc.subjectParacosymplectic manifolden_US
dc.subjectPara-Kenmotsu manifolden_US
dc.subjectYamabe solitonen_US
dc.subjectRicci solitonen_US
dc.subjectInfinitesimal automorphismen_US
dc.subjectConstant scalar curvatureen_US
dc.titleYamabe solitons on three-dimensional normal almost paracontact metric manifoldsen_US
dc.typeArticleen_US

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