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    Cotton Solitons on Three Dimensional Almost ?-paracosymplectic Manifolds
    (Int Electronic Journal Geometry, 2023) Erken, Irem Kupeli; Ozkan, Mustafa; Savur, Busra
    In this paper, we study Cotton solitons on three-dimensional almost alpha-paracosymplectic manifolds. We especially focus on three-dimensional almost alpha-paracosymplectic manifolds with harmonic vector field xi and characterize them for all possible types of operator h. Finally, we construct an example which satisfies our results.
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    Cotton solitons on three dimensional paracontact metric manifolds
    (Univ Nis, Fac Sci Math, 2023) Ozkan, Mustafa; Erken, Irem Kupeli; Murathan, Cengizhan
    In this paper, we study Cotton solitons on three-dimensional paracontact metric manifolds. We especially focus on three-dimensional paracontact metric manifolds with harmonic vector field xi and characterize them for all possible types of operator h. Finally, we constructed an example which satisfies our results.
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    Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures
    (Springer Basel Ag, 2023) Erken, Irem Kupeli; Murathan, Cengizhan; Siddiqui, Aliya Naaz
    The first and second authors introduced Riemannian warped product submersions and discussed interesting fundamental geometric properties of such submersions in Kupeli Erken and Murathan,. In the present paper, we extend this study to put light on the curvature properties of such submersions and then obtain optimal inequalities for Riemannian warped product submersions involving vertical Casorati curvatures. Also, we discuss under which conditions the equality case of inequality can hold with an example.
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    On trans-para-Sasakian manifolds
    (Univ Nis, Fac Sci Math, 2024) Ozkan, Mustafa; Erken, Irem Kupeli; De, Uday Chand
    In this paper, we investigate the geometry of the trans-para-Sasakian manifolds. Finally, an example of a three-dimensional trans-para-Sasakian manifold is constructed to verify the results.