On the existence of proper Nearly Kenmotsu manifolds

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Date

2016-06-17

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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.

URI

https://doi.org/10.1007/s00009-016-0758-9
 https://link.springer.com/article/10.1007/s00009-016-0758-9
 http://hdl.handle.net/11452/32205

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