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    Geometry of Kenmotsu Manifolds via Q-Curvature Tensor and Schouten-Van Kampen Connection
    (Mdpi, 2025) Yildirim, Mustafa; Beyendi, Selahattin; Ayar, Gulhan; Aktan, Nesip
    This research paper aims to study the Q-curvature tensor on Kenmotsu manifolds endowed with the Schouten-van Kampen connection. Using the Q-curvature tensor, whose trace is the well-known Z-tensor, we characterized Kenmotsu manifolds by introducing the notion of zeta-Q flat and phi-Q flat manifolds and novel tensor conditions, such as Q(xi,X)Q=0, Q(xi,X)R=0, Q(xi,X)C=0, Q(xi,X)S=0, Q(xi,X)H=0, and Q(xi,X)P=0, with the Schouten-van Kampen connection. To validate some of our results, we constructed a non-trivial example of Kenmotsu manifolds endowed with the Schouten-van Kampen connection.
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    On Some Types of Almost Cosymplectic Manifolds
    (Amer Inst Physics, 2017) Ayar, Gulhan; Beyendi, Selahattin; Aktan, Nesip
    The object of the present paper is to study almost cosymplectic (k, mu)-spaces satisfying some curvature conditions.