Screen transversal CR-lightlike submanifolds of golden semi-Riemannian manifolds

Abstract

In this paper, we introduce a new class of lightlike submanifolds namely, screen transversal Cauchy–Riemann (CR)-lightlike submanifolds of golden semi-Riemannian manifolds. We give some non-trivial examples of screen transversal CR-lightlike submanifolds. Further, we obtain necessary and sufficient conditions for integrability of the distributions and investigate the geometry of the leaves of the foliation determined by the distributions. We also obtain a necessary and sufficient condition for the induced connection to be a metric connection. Finally, we find some necessary and sufficient conditions for minimal screen transversal CR-lightlike submanifolds of golden semi-Riemannian manifolds. © 2025 World Scientific Publishing Company.