  This research work introduces the structure of invariant and screen
semi-invariant lightlike submanifolds of a metallic semi-Riemannian manifold
with a quarter symmetric non-metric connection, elaborated with examples. It
delves into the characterization of integrability and parallelism of
distributions inherent in the structure of these submanifolds. Additionally, it
presents findings pertaining to totally geodesic foliations for invariant and
screen semi-invariant submanifolds.
