On the existence of proper Nearly Kenmotsu manifolds
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Date
2016-06-17
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Publisher
Springer
Abstract
We prove that a nearly Kenmotsu manifold is locally isometric to the warped product of a real line and a nearly Kahler manifold. As consequence, a normal nearly Kenmotsu manifold is Kenmotsu. Furthermore, we show that there do not exist nearly Kenmotsu hypersurfaces of nearly Kahler manifolds.
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Keywords
Mathematics, Almost contact metric manifold, Kenmotsu manifold, Nearly Kenmotsu manifold
Citation
Erken, İ. K. vd. (2016). "On the existence of proper Nearly Kenmotsu manifolds". Mediterranean Journal of Mathematics, 13(6), 4497-4507.