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oai:munzur-rdlopen.rawdatalibrary.net:munzur/41962026-10-28T15:47:43Zopenairecom_munzur_1col_munzur_2

Some results on N (k)-contact metric manifoldsAltin, MustafaYoldas, Halil IbrahimÜnal, InanN(k)-contact metric manifoldCY-connectiongeneralized quasi-conformal curvature tensorIn this study, some geometric properties of N(k)-contact metric manifolds, which are important class of contact manifolds, have been investigated by using a special connection (CY-connection). First, we give some fundamental results on N(k)-contact metric manifolds admitting CY-connection. Then, we obtain curvature properties of such manifolds. We prove that an N(k)-contact metric manifold admitting R* (xi, X).R* = 0 condition is an N (-1/4) metric manifold, where R* is the Riemannian curvature tensor of CY-connection. Also, we examine an N(k)-contact metric manifold admitting CY-connection under W* (xi, X).S* = 0 condition for generalized quasi-conformal curvature tensor W* of CY-connection. Finally, we consider a 3-dimensional N(k)-contact metric manifold admitting CY-connection.TBILISI CENTRE MATH SCI2022Articlehttps://rdlopen.rawdatalibrary.net/r/munzur/4196enADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNALinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/articlehttps://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/4196