On geodesic screen generic lightlike submanifolds of locally metallic semi-Riemannian manifolds

This paper presents the concept of screen generic lightlike submanifolds within the context of locally metallic semi-Riemannian manifolds. Our main focus is on investigating the integrability of different distributions and exploring the properties of geodesic screen generic lightlike submanifolds. Additionally, we demonstrate these ideas with an example of a generic lightlike submanifold on a screen.