The aim of our paper is to focus on some properties of submanifolds in
Riemannian manifolds endowed with endomorphisms that generalize the Golden
Riemannian structure, named metallic Riemannian structures. We focus on the
properties of the structure induced on submanifolds, named by us
Σ-metallic Riemannian structures, especialy regarding the normality of
this types of structure. Examples of structures induced on a sphere of
codimension 1 by some metallic Riemannian structures defined on an Euclidean
space are given