Metallic deformation on para-Sasaki-like para-Norden manifold

The main goal of this paper is to define the concept of metallic deformation through a relation between the metallic structure and paracontact structure on an almost paracontact para-Norden manifold. A Riemannian connection is obtained on a metallically deformed para-Sasaki-like para-Norden manifold. A $\phi$-connection is obtained via the Riemannian connection on a metallically deformed para-Sasaki-like para-Norden manifold. The curvature tensors, Ricci tensors, scalar curvatures, and $\ast$-scalar curvatures are investigated with respect to the Riemannian connection and the $\phi$-connection. Finally, an example is given of a metallically deformed $3$-dimensional para-Sasaki-like para-Norden manifold.