Altin, MustafaYoldas, Halil IbrahimUnal, Inan2025-01-062025-01-0620222667-9930https://hdl.handle.net/20.500.14669/2776In 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.eninfo:eu-repo/semantics/closedAccessN(k)-contact metric manifoldCY-connectiongeneralized quasi-conformal curvature tensorArticle9783WOS:000883188900006N/A