QUASI BI-SLANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS
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초록
The fundamental motivation behind the current paper is to define and study the notion of quasi bi-slant submanifolds of Kenmotsu manifolds as a generalization of slant, semi-slant, hemi-slant, bi-slant and quasi hemislant submanifolds. First and foremost, we obtain the necessary and suffcient condition for the integrability of distributions of quasi bi-slant submanifolds of Kenmotsu manifolds and afterwards, we investigate the conditions for quasi bi-slant submanifolds of Kenmotsu manifolds to be totally geodesic. At long last, we additionally provide some examples of such submanifolds.
Abstract
The fundamental motivation behind the current paper is to define and study the notion of quasi bi-slant submanifolds of Kenmotsu manifolds as a generalization of slant, semi-slant, hemi-slant, bi-slant and quasi hemislant submanifolds. First and foremost, we obtain the necessary and suffcient condition for the integrability of distributions of quasi bi-slant submanifolds of Kenmotsu manifolds and afterwards, we investigate the conditions for quasi bi-slant submanifolds of Kenmotsu manifolds to be totally geodesic. At long last, we additionally provide some examples of such submanifolds.
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