LIGHTLIKE SUBMANIFOLDS OF INDEFINITE QUATERNION KAEHLER MANIFOLDS

Abstract

We define and study both screen QR-lightlike and screen CR-lightlike submanifolds of an indefinite quaternion Kaehler manifold.We show that screen QR-lightlike submanifolds include quaternion submanifolds and screen CR-lightlike submanifolds include quaternion as well as screen real lightlike submanifolds.We also give some examples of screen QR-lightlike and screen CR-lightlike submanifolds.