Invariant and screen semi-invariant lightlike submanifolds of a metallic semi-Riemannian manifold with a quarter symmetric non-metric connection

Abstract

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