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Let $(M,g)$ be an n-dimensional Riemannian manifold and $T^{*}M$ be itscotangent bundle equipped with a Riemannian metric of Cheeger Gromoll typewhich rescale the horizontal part by a nonzero differentiable function. Themain purpose of the present paper is to discuss curvature properties of$T^{*}M$ and construct almost paracomplex Norden structures on $T^{*}M$. Weinvestigate conditions for these structures to be para-K\"ahler(paraholomorphic) and quasi-K\"ahler. Also, some properties of almostparacomplex Norden structures in context of almost product Riemannian manifoldsare presented.

On the rescaled Riemannian metric of Cheeger Gromoll type on the cotangent bundle