Some results on N (k)-contact metric manifolds

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dc.authoridYoldas, Halil Ibrahim/0000-0002-3238-6484
dc.contributor.authorAltin, Mustafa
dc.contributor.authorYoldas, Halil Ibrahim
dc.contributor.authorUnal, Inan
dc.date.accessioned2025-01-06T17:43:46Z
dc.date.available2025-01-06T17:43:46Z
dc.date.issued2022
dc.description.abstractIn 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.
dc.identifier.endpage97
dc.identifier.issn2667-9930
dc.identifier.startpage83
dc.identifier.urihttps://hdl.handle.net/20.500.14669/2776
dc.identifier.wosWOS:000883188900006
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTbilisi Centre Math Sci
dc.relation.ispartofAdvanced Studies-Euro-Tbilisi Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subjectN(k)-contact metric manifold
dc.subjectCY-connection
dc.subjectgeneralized quasi-conformal curvature tensor
dc.titleSome results on N (k)-contact metric manifolds
dc.typeArticle

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