SOME SEMISYMMETRY CONDITIONS ON RIEMANNIAN MANIFOLDS

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dc.authoridYıldız, Ahmet/0000-0002-9799-1781
dc.authorwosidyıldız, ahmet/HSF-3939-2023
dc.authorwosidYıldız, Ahmet/ABG-9622-2020
dc.contributor.authorYildiz, Ahmet
dc.contributor.authorCetinkaya, Azime
dc.date.accessioned2024-08-04T21:01:11Z
dc.date.available2024-08-04T21:01:11Z
dc.date.issued2014
dc.departmentİnönü Üniversitesien_US
dc.description.abstractWe study a Riemannian manifold M admitting a semisymmetric metric connection (del) over tilde such that the vector field U is a parallel unit vector field with respect to the Levi-Civita connection del. Firstly, we show that ifMis projectively flat with respect to the semisymmetric metric connection (del) over tilde then M is a quasi-Einstein manifold. Also we prove that if R.(P) over tilde = 0 if and only ifMis projectively semisymmetric; if (P) over tilde .R = 0 or R.(P) over tilde-(P) over tilde .R = 0 then Mis conformally flat and quasi-Einstein manifold. Here R, P and (P) over tilde denote Riemannian curvature tensor, the projective curvature tensor of del and the projective curvature tensor of (del) over tilde, respectively.en_US
dc.identifier.endpage11en_US
dc.identifier.issn0352-9665
dc.identifier.issn2406-047X
dc.identifier.issue1en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/11616/104173
dc.identifier.volume29en_US
dc.identifier.wosWOS:000413860500001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherUniv Nisen_US
dc.relation.ispartofFacta Universitatis-Series Mathematics and Informaticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject[No Keywords]en_US
dc.titleSOME SEMISYMMETRY CONDITIONS ON RIEMANNIAN MANIFOLDSen_US
dc.typeArticleen_US

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