Bayram ŞAHİN, Sadık KELEŞ, Rıfat GÜNEŞ

6668

QR-Submanifolds and Almost Contact 3-Structure

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.
Anahtar Kelimeler:

Quaternion Kaehler Manifold, QR-Submanifold, Almost Contact 3-Structure.

QR-Submanifolds and Almost Contact 3-Structure

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.,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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