  In this paper, we define and study CR-lightlike submanifolds of a golden
semi-Riemannian manifold. We investigate some properties of geodesic
CR-submanifolds of a golden semi-Riemannian manifold. Moreover, we obtain many
interesting results for totally geodesic and totally umbilical CR-submanifolds
on a golden Riemannian manifold. A non-trivial example of CR-lightlike
submanifold of a golden semi-Riemannian manifold is also constructed.
