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On the Existence of Proper Nearly Kenmotsu Manifolds

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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 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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Authors and Affiliations

  1. Department of Mathematics, Faculty of Art and Science, Uludag University, Gorukle, 16059, Bursa, Turkey

    I. Küpeli Erken, Piotr Dacko & C. Murathan

Authors
  1. I. Küpeli Erken
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  2. Piotr Dacko
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  3. C. Murathan
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Correspondence to I. Küpeli Erken.

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Erken, I.K., Dacko, P. & Murathan, C. On the Existence of Proper Nearly Kenmotsu Manifolds. Mediterr. J. Math. 13, 4497–4507 (2016). https://doi.org/10.1007/s00009-016-0758-9

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  • DOI: https://doi.org/10.1007/s00009-016-0758-9

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