On the existence of proper Nearly Kenmotsu manifolds

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/32205

Title:	On the existence of proper Nearly Kenmotsu manifolds
Authors:	Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0003-3054-8213 Erken, İrem Küpeli Dacko, Piotr Murathan, Cengizhan ABE-8167-2020 ABH-3658-2020 55623226100 57217983181 6506718146
Keywords:	Mathematics Almost contact metric manifold Kenmotsu manifold Nearly Kenmotsu manifold
Issue Date:	17-Jun-2016
Publisher:	Springer
Citation:	Erken, İ. K. vd. (2016). "On the existence of proper Nearly Kenmotsu manifolds". Mediterranean Journal of Mathematics, 13(6), 4497-4507.
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.
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
ISSN:	1660-5446 1660-5454
Appears in Collections:	Scopus Web of Science

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