On QR- submanifolds of a quaternionic space form

Abstract

IIn this paper, we investigate mixed QR-submanifolds in a quaternionic space form and pseudo umbilical QR-submanifold of a quaternionic space form under some additional condition. Finally we give a necessary condition for QR-submanifold of a quaternion Kaehler manifold such that dim $upsilon^{perp}$ = 1 to be a 3-quasi Sasakian Manifold.