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On the existence of proper Nearly Kenmotsu manifolds

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Erken, İrem Küpeli
Dacko, Piotr
Murathan, Cengizhan

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Springer

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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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Mathematics, Almost contact metric manifold, Kenmotsu manifold, Nearly Kenmotsu manifold

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Erken, İ. K. vd. (2016). "On the existence of proper Nearly Kenmotsu manifolds". Mediterranean Journal of Mathematics, 13(6), 4497-4507.

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