2017
Том 69
№ 6

All Issues

On 3-dimensional f-Kenmotsu manifolds and Ricci solitons

De U. C., Turan M., Yildiz A.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 5, pp 684-693.

Citation Example: De U. C., Turan M., Yildiz A. On 3-dimensional f-Kenmotsu manifolds and Ricci solitons // Ukr. Mat. Zh. - 2013. - 65, № 5. - pp. 620–628.

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