QR-Submanifolds and Almost Contact 3-Structure
Authors : Rıfat Güneş, Bayram Şahin And Sadık Keleş
Pages : 239-250
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Publication Date : 9999-12-31
Article Type : Makaleler
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 (resp.Real hypersurfaces) of quaternion Kaehler manifolds (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.