Metallic-like structures and metallic-like maps

The metallic-like (a, b)-manifold is a manifold endowed with a polynomial structure of second degree which unifies the almost product, complex structures and includes metallic structures. We introduce the metallic-like maps between metallic-like (a, b)-manifolds and we give a criterion for the nonconstancy of these maps. We prove that an almost contact structure on a Riemannian manifold induces a metallic-like (a, b)-structure and we give an example of a nonconstant metallic-like endomorphism of a particular almost contact manifold.