QR-Submanifolds and Almost Contact 3-Structure

Authors : Rıfat GÜNEŞ, Bayram Şahin And Sadık KELEŞ

Pages : 239-250

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper,QR-submanifolds of quaternion Kaehlerian manifolds with \dim n \perp =1 has been considered. It is shown that each QR-submanifold of quaternion Kaehlerian manifold with \dim n \perp =1 is a manifold with an almost contact 3-structure. We apply geometric theory of almost contact 3-structure to the classification of QR-submanifolds insert ignore into journalissuearticles values(resp.Real hypersurfaces); of quaternion Kaehler manifolds insert ignore into journalissuearticles values(resp.IR4m, m>1);. Some results on integrability of an invariant distribution of a QR-submanifold and on the immersions of its leaves are also obtained.
Keywords : Quaternion Kaehler Manifold, QR Submanifold, Almost Contact 3 Structure