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- MakaleYalnız künye2026Scopus SJRQ3H-SEMI-SYMMETRY IN KÄHLER MANIFOLDS AND APPLICATIONS TO COMPLEX CONTACT MANIFOLDS
Ünal, İnan
Complex manifolds include different subclasses, and one of the most significant ones is the class of Kähler manifolds. These types of manifolds have valuable curvature properties that are related to almost complex structures. For this study, we focused on Kähler manifolds having semi-symmetry conditions associated with H-curvature tensors. Another important subclass is of IK-normal complex contact metric man-ifolds, which are complex manifolds with a contact structure. Since the complex structure of this type of manifold is Kähler, it has important ap-plications. In the last section, we used the results obtained for a Kähler manifold to an IK-normal complex contact metric manifold.
- MakaleYalnız künye2018Scopus SJRQ3H-curvature tensors on IK-normal complex contact metric manifolds
Turgut Vanli, Aysel; Unal, Inan
IK-normal complex contact metric manifolds have some important properties. There are several applications of this kind of contact manifolds in theoretical physics. In this paper, we studied on H-curvature tensors for IK-normal complex contact metric manifolds. We have shown that there is no IK-normal complex contact metric manifold with constant sectional curvature and an IK-normal complex contact metric manifold is not Ricci semi-symmetric.
AtıfScopus4WoS2OpenAlex3
İncele - MakaleYalnız künye2017Scopus SJRQ2Conformal, concircular, quasi-conformal and conharmonic flatness on normal complex contact metric manifolds
Vanli, Aysel Turgut; Unal, Inan
Conformal, concircular, quasi-conformal and conharmonic curvature tensors play an important role in Riemannian geometry. In this paper, we study on normal complex contact metric manifolds under flatness conditions of these tensors.
AtıfScopus12WoS13OpenAlex19İncele