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On 3-dimensional f-Kenmotsu manifolds and Ricci solitons

On 3-dimensional f-Kenmotsu manifolds and Ricci solitons

The aim of the present paper is to study 3-dimensional f-Kenmotsu manifolds and Ricci solitons. First, we give an example of a 3-dimensional f-Kenmotsu manifold. Then we consider a Riccisemisymmetric 3-dimensional f-Kenmotsu manifold and prove that a 3-dimensional f-Kenmotsu manifold is Ricci semisy...

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Bibliographic Details
Main Authors: Yildiz, A., De, U.C., Turan, M.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165320
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Summary:The aim of the present paper is to study 3-dimensional f-Kenmotsu manifolds and Ricci solitons. First, we give an example of a 3-dimensional f-Kenmotsu manifold. Then we consider a Riccisemisymmetric 3-dimensional f-Kenmotsu manifold and prove that a 3-dimensional f-Kenmotsu manifold is Ricci semisymmetric if and only if it is an Einstein manifold. Moreover, we investigate an η-parallel Ricci tensor in a 3-dimensional f-Kenmotsu manifold. Finally, we study Ricci solitons in a 3-dimensional f-Kenmotsu manifold.

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