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On the Existence of Proper Nearly Kenmotsu Manifolds |
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| Authors: | Erken I Küpeli Dacko Piotr Murathan C |
| Institution: | 1.Department of Mathematics, Faculty of Art and Science, Uludag University, Gorukle, 16059, Bursa, Turkey ; |
| Abstract: | We prove that a nearly Kenmotsu manifold is locally isometric to the warped product of a real line and a nearly Kähler manifold. As consequence, a normal nearly Kenmotsu manifold is Kenmotsu. Furthermore, we show that there do not exist nearly Kenmotsu hypersurfaces of nearly Kähler manifolds. |
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