Generic Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds Immersed as Warped Products

This work studies generic lightlike submanifolds immersed as warped product in indefinite nearly Kähler manifolds. We establish the non-existence of generic lightlike warped product submanifolds of the form K_⊥ ×_λ KT. Then, we present an explicit example of proper warped product generic lightlike submanifolds of the form KT ×_λ K_⊥ in indefinite nearly Kähler manifolds and find some results for this form of warped products in terms of natural morphism structures t and f. Further, we find some sharp inequalities for the second fundamental form are derived, including results in indefinite generalized complex space forms.