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- MakaleYalnız künye2022Scopus SJRQ4Some results on N (k)-contact metric manifolds
Altin, Mustafa; Yoldas, Halil Ibrahim; Ünal, Inan
In 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.
- MakaleYalnız künye2021Scopus SJRQ4A classification of para-kenmotsu space forms
Ünal, İnan; Sari, Ramazan
A para-Kenmotsu space form is a para-Kenmotsu manifold with constant φ− sectional curvature. In this study, we work on para-Kenmotsu space forms under some flatness conditions of generalized quasi-conformal curvature tensor which is a generalization of conformal, concircular, conharmonic, projective, M-projective and pseudo-projective curvature tensors. We examine GQC-flat and ξ−GQC flat p-Kenmotsu space forms.
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