Screen slant lightlike submanifolds of golden semi-Riemannian manifolds

Abstract

The aim of our paper is to introduce the notion of screen slant lightlike submanifolds of golden semi-Riemannian manifolds. We give some non-trivial examples of screen slant lightlike submanifolds and provide a characterization theorem of such submanifolds. Further, we obtain necessary and sufficient conditions for integrability of the distributions and investigate the geometry of the leaves of the foliation de-termined by the distributions. We also obtain a necessary and sufficient condition for the induced connection to be a metric connection. © 2024, Institute of Mathematics. All rights reserved.