Screen Generic Transversal Lightlike Submanifolds

In this study, we introduce screen generic transversal lightlike submanifolds of indefinite Kaehler manifolds. We show that this new class is an umbrella of invariant (complex), screen real, SCR, radical ST and ST anti-invariant lightlike submanifolds. We investigate the integrability of various distributions and prove a characterization theorem of such lightlike submanifolds in a complex space form. We obtain new conditions for the induced connection to be a metric connection and we find some necessary and sufficient conditions for minimal screen generic transversal lightlike submanifolds. Moreover, we provide some examples of screen generic transversal lightlike submanifold and minimal screen generic transversal lightlike submanifold of an indefinite Kaehler manifold.