QR-submanifolds and almost contact 3-structure

In this paper,QR-submanifolds of quaternion Kaehlerian manifolds with $dim\nu^{\perp}$ = 1 has been considered. It is shown that each QR-submanifold of quaternion Kaehlerian manifold with $dim\nu^{\perp}$ is a manifold with an almost contact 3-structure. We apply geometric theory of almost contact 3-structure to the classification of QR-submanifolds (resp.Real hypersurfaces) of quaternion Kaehler manifolds (resp.$IR^{4m}$, m > 1). Some results on integrability of an invariant distribution of a QR-submanifold and on the immersions of its leaves are also obtained.