This study introduces QR-lightlike submanifold of an indefinite quaternion Kaehler manifold and investigates its some fundamental properties. Necessary and sufficient conditions have been also given for QR-lightlike submanifold to be a mixed totally geodesic and, D-totally geodesic after investigating the integrability of distributions defined on QR-lightlike submanifolds. Further, totally umbilical QR-lightlike submanifolds are studied and some theorems are given.
C1 Inonu Univ, Fac Sci & Art, Dept Math, TR-44100 Malatya, Turkey.