Cotton tensor on Sasakian 3-manifolds admitting eta-Ricci solitons

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dc.contributor.authorKar, Debabrata
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-21T07:27:15Z
dc.date.available2022-12-21T07:27:15Z
dc.date.issued2021
dc.description.abstractThe object of the present paper is to characterize Cotton tensor on a 3-dimensional Sasakian manifold admitting η -Ricci solitons. After introduction, we study 3-dimensional Sasakian manifolds and introduce a new notion, namely, Cotton pseudo-symmetric manifolds. Next we deal with the study Cotton tensor on a Sasakian 3-manifold admitting η -Ricci solitons. Among others we prove that such a manifold is a manifold of constant scalar curvature and Einstein manifold with some appropriate conditions. Also, we classify the nature of the soliton metric. Finally, we give an important remark.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage581tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage569tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.769405tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86256
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.769405tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryGazete Makalesi - Ulusaltr_TR
dc.subjectEinstein manifold, Ricci soliton, η -Ricci soliton, Cotton tensor, Sasakian manifoldtr_TR
dc.titleCotton tensor on Sasakian 3-manifolds admitting eta-Ricci solitonstr_TR
dc.typeArticletr_TR

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