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dc.contributor.authorGüler, Sinem
dc.date.accessioned2020-12-20T06:49:39Z
dc.date.available2020-12-20T06:49:39Z
dc.date.issued2020
dc.identifier.issn0126-6705
dc.identifier.issn2180-4206
dc.identifier.urihttps://doi.org/10.1007/s40840-020-00889-9
dc.identifier.urihttps://hdl.handle.net/20.500.12436/1768
dc.descriptionWOS:000571920400014en_US
dc.description.abstractIn this study, we provide some classifications for half-conformally flat gradient f - almost Ricci solitons, denoted by (M, g, f ), in both Lorentzian and neutral signature. First, we prove that if ||∇ f || is a non-zero constant, then (M, g, f )is locally isometric to a warped product of the form I ×ϕ N, where I ⊂ R and N is of constant sectional curvature. On the other hand, if ||∇ f || = 0, then it is locally a Walker manifold. Then, we construct an example of 4-dimensional steady gradient f -almost Ricci solitons in neutral signature. At the end, we give more physical applications of gradient Ricci solitons endowed with the standard static spacetime metric.en_US
dc.language.isoengen_US
dc.publisherMalaysian Mathematical Sciences Socen_US
dc.relation.ispartofBulletin Of The Malaysian Mathematical Sciences Societyen_US
dc.identifier.doi10.1007/s40840-020-00889-9en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRicci solitonen_US
dc.subjectGradient Ricci solitonen_US
dc.subjectGradienth-almost Ricci solitonen_US
dc.subjectHalf-conformally flat manifolden_US
dc.subjectWalker manifolden_US
dc.subjectStandard static spacetime metricen_US
dc.titleOn a class of gradient almost ricci solitonsen_US
dc.typearticleen_US
dc.authoridSinem Güler |0000-0001-9994-2927
dc.departmentMühendislik ve Doğa Bilimleri Fakültesien_US
dc.identifier.volume43en_US
dc.identifier.issue5en_US
dc.identifier.startpage3635en_US
dc.identifier.endpage3650en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.institutionauthorGüler, Sinem
dc.department-temp[Guler, Sinem] Istanbul Sabahattin Zaim Univ, Dept Ind Engn, Istanbul, Turkeyen_US


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