On QR-Submanifolds of a Quaternionic Space form

Authors: BAYRAM ŞAHİN

Abstract: In 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.

Keywords: Quaternion Kaehler Manifold, QR-Submanifold, Pseudo-Umbilical Submanifold, Mixed Geodesic QR-Submanifold, Almost Contact 3-Structure

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