Some remarks on metallic Riemannian structures.

In this paper we make three remarks about metallic Riemannian manifolds. Firstly we give an integrability condition using a Codazzi type equation, then we consider another metallic structure on a metallic Riemannian manifold and we study the mixed twin metric associated to them. Finally, we show that a Riemannian foliated manifold has a natural (p, q)-metallic structure and every leaf of the foliation carries a metallic structure which is always integrable. [ABSTRACT FROM AUTHOR]