RICCI SOLITONS IN 3-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDS

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dc.contributor.authorPerktas, Selcen Yuksel
dc.contributor.authorKeles, Sadik
dc.date.accessioned2024-08-04T21:01:03Z
dc.date.available2024-08-04T21:01:03Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present paper we study 3-dimensional normal almost paracontact metric manifolds admitting Ricci solitons and gradient Ricci solitons. We give an example of 3-dimensional normal almost paracontact metric manifold. It is shown that if in a 3-dimensional normal almost paracontact metric manifold with alpha, beta = constant the metric is Ricci soliton, where potential vector field V is collinear with the characteristic vector field xi, then the manifold is eta-Einstein. We also prove that an eta-Einstein 3-dimensional normal almost paracontact metric manifold with alpha, beta = constant and V = xi admits a Ricci soliton. Furthermore, we show that if a 3-dimensional normal almost paracontact metric manifold admits a Ricci soliton (g, xi, lambda) then the Ricci soliton is shrinking.en_US
dc.identifier.endpage45en_US
dc.identifier.issn1307-5624
dc.identifier.issue2en_US
dc.identifier.startpage34en_US
dc.identifier.urihttps://hdl.handle.net/11616/104049
dc.identifier.volume8en_US
dc.identifier.wosWOS:000439111500004en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherInt Electronic Journal Geometryen_US
dc.relation.ispartofInternational Electronic Journal of Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNormal almost paracontact metric manifolden_US
dc.subjectRicci solitonen_US
dc.subjectgradient Ricci solitonen_US
dc.subjecteta-Einstein manifolden_US
dc.titleRICCI SOLITONS IN 3-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDSen_US
dc.typeArticleen_US

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