Turkish Journal of Mathematics
DOI
-
Abstract
In this paper,QR-submanifolds of quaternion Kaehlerian manifolds with $\dim \nu ^{\perp }=1$ has been considered. It is shown that each QR-submanifold of quaternion Kaehlerian manifold with $\dim \nu ^{\perp }=1$ 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.$IR^{4m}$, $m>1$). 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.
First Page
239
Last Page
250
Recommended Citation
GÜNEŞ, RIFAT; ŞAHİN, BAYRAM; and KELEŞ, SADIK (2000) "QR-Submanifolds and Almost Contact 3-Structure," Turkish Journal of Mathematics: Vol. 24: No. 3, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol24/iss3/3
