Title: Isometric immersions into manifolds with metallic structures,
Abstract: We consider submanifolds into Riemannian manifold with metallic structures.
We obtain some new results for hypersurfaces in these spaces and we express the
fundamental theorem of submanifolds into products spaces in terms of metallic
structures. Moreover, we define new structures called complex metallic
structures. We show that these structures are linked with complex structures.
Then, we consider submanifolds into Riemannian manifold with such structures
with a focus on invariant submanifolds and hypersurfaces. We also express in
particular the fundamental theorem of submanifolds of complex space form in
terms of complex metallic structures.