QR-lightlike submanifolds of indefinite quaternion Kaehler manifold (Q1860759)

In recent years, many papers have been published based on the theory of lightlike submanifolds developed in [\textit{K. L. Duggal} and \textit{A. Bejancu}, Lightlike submanifolds of semi-Riemannian manifolds and applications, Kluwer, Dordrecht (1996; Zbl 0848.53001)]. In this paper, the author studies QR-lightlike submanifolds similar to the well-known theory of Riemannian QR-submanifolds. After discussing some general properties, he finds the integrability conditions of related distributions. His main result is the non existence of totally umbilical QR-lightlike submanifolds in an indefinite quaternion Kähler manifold with positive or negative null sectional curvature.