Hemi-slant submanifolds in metallic Riemannian manifolds

The aim of our paper is to focus on some properties of hemi-slant submanifolds in metallic (and Golden) Riemannian manifolds. We give some characterizations for submanifolds to be hemi-slant submanifolds in metallic (or Golden) Riemannian manifolds and we obtain integrability conditions for the distributions involved. Examples of hemi-slant submanifolds of metallic and Golden Riemannian manifolds are given.