Yazar "Yildirim, Mustafa" seçeneğine göre listele

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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 generalized weakly symmetric ?-cosymplectic manifolds
    (Hacettepe Univ, Fac Sci, 2021) Beyendi, Selahattin; Yildirim, Mustafa
    This study is concerned with some results on generalized weakly symmetric and generalized weakly Ricci-symmetric alpha-cosymplectic manifolds. We prove the necessary and sufficient conditions for an alpha-cosymplectic manifold to be generalized weakly symmetric and generalized weakly Ricci-symmetric. On the basis of these results, we give one proper example of generalized weakly symmetric alpha-cosymplectic manifolds.
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    SOME NOTES ON NEARLY COSYMPLECTIC MANIFOLDS
    (Honam Mathematical Soc, 2021) Yildirim, Mustafa; Beyendi, Selahattin
    In this paper, we study some symmetric and recurrent conditions of nearly cosymplectic manifolds. We prove that Ricci-semisymmetric and Ricci-recurrent nearly cosymplectic manifolds are Einstein and conformal flat nearly cosymplectic manifold is locally isometric to Riemannian product R x N, where N is a nearly Kahler manifold.