Generalized Screen Generic Lightlike Submanifolds

Abstract

In this paper, we introduce generalized screen generic lightlike
submanifolds of indefinite Kaehler manifolds which is new class and an umbrella of invariant (complex), screen real, CR, SCR, GCR and screen
generic lightlike submanifolds. We find new conditions for the induced
connection to be a metric connection and obtain a characterization of such
lightlike submanifolds in a complex space form and give a non-trivial example for new class of submanifolds. Moreover, we find some
necessary and sufficient conditions for minimal generalized screen generic
lightlike submanifolds and give an example of the submanifolds.