Yazarlar

  • MakaleYalnız künye2026Scopus SJRQ3
    H-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.

  • MakaleAçık Erişim2022Scopus SJRQ3
    GEOMETRY OF KENMOTSU MANIFOLDS ADMITTING Z-TENSOR

    Barman, Ajit; Ünal, İnan

    The object of this paper is to study Kenmotsu manifolds admitting Z−tensor, which is a generalization of Einstein tensor that comes from general rel-ativity. We define a special type of quarter-symmetric non-metric ϕ and η-connection on a Kenmotsu manifold and we examine some geometric properties of such manifolds with Z−tensor. Some semi-symmetry conditions related to Z−tensor are studied on Kenmotsu manifolds and finally, we ob-serve our results on a 5-dimensional Kenmotsu manifold.

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